GCF of 24 and 88
GCF of 24 and 88 is the largest possible number that divides 24 and 88 exactly without any remainder. The factors of 24 and 88 are 1, 2, 3, 4, 6, 8, 12, 24 and 1, 2, 4, 8, 11, 22, 44, 88 respectively. There are 3 commonly used methods to find the GCF of 24 and 88 - long division, prime factorization, and Euclidean algorithm.
| 1. | GCF of 24 and 88 |
| 2. | List of Methods |
| 3. | Solved Examples |
| 4. | FAQs |
What is GCF of 24 and 88?
Answer: GCF of 24 and 88 is 8.
Explanation:
The GCF of two non-zero integers, x(24) and y(88), is the greatest positive integer m(8) that divides both x(24) and y(88) without any remainder.
Methods to Find GCF of 24 and 88
Let's look at the different methods for finding the GCF of 24 and 88.
- Listing Common Factors
- Long Division Method
- Prime Factorization Method
GCF of 24 and 88 by Listing Common Factors
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88
There are 4 common factors of 24 and 88, that are 8, 1, 2, and 4. Therefore, the greatest common factor of 24 and 88 is 8.
GCF of 24 and 88 by Long Division
GCF of 24 and 88 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
- Step 1: Divide 88 (larger number) by 24 (smaller number).
- Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (24) by the remainder (16).
- Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (8) is the GCF of 24 and 88.
GCF of 24 and 88 by Prime Factorization
Prime factorization of 24 and 88 is (2 × 2 × 2 × 3) and (2 × 2 × 2 × 11) respectively. As visible, 24 and 88 have common prime factors. Hence, the GCF of 24 and 88 is 2 × 2 × 2 = 8.
☛ Also Check:
- GCF of 50 and 80 = 10
- GCF of 7 and 14 = 7
- GCF of 36 and 60 = 12
- GCF of 14 and 56 = 14
- GCF of 9 and 36 = 9
- GCF of 18 and 28 = 2
- GCF of 48 and 84 = 12
FAQs on GCF of 24 and 88
What is the GCF of 24 and 88?
The GCF of 24 and 88 is 8. To calculate the greatest common factor of 24 and 88, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 88 = 1, 2, 4, 8, 11, 22, 44, 88) and choose the greatest factor that exactly divides both 24 and 88, i.e., 8.
What is the Relation Between LCM and GCF of 24, 88?
The following equation can be used to express the relation between LCM and GCF of 24 and 88, i.e. GCF × LCM = 24 × 88.
How to Find the GCF of 24 and 88 by Prime Factorization?
To find the GCF of 24 and 88, we will find the prime factorization of the given numbers, i.e. 24 = 2 × 2 × 2 × 3; 88 = 2 × 2 × 2 × 11.
⇒ Since 2, 2, 2 are common terms in the prime factorization of 24 and 88. Hence, GCF(24, 88) = 2 × 2 × 2 = 8
☛ What are Prime Numbers?
If the GCF of 88 and 24 is 8, Find its LCM.
GCF(88, 24) × LCM(88, 24) = 88 × 24
Since the GCF of 88 and 24 = 8
⇒ 8 × LCM(88, 24) = 2112
Therefore, LCM = 264
☛ GCF Calculator
How to Find the GCF of 24 and 88 by Long Division Method?
To find the GCF of 24, 88 using long division method, 88 is divided by 24. The corresponding divisor (8) when remainder equals 0 is taken as GCF.
What are the Methods to Find GCF of 24 and 88?
There are three commonly used methods to find the GCF of 24 and 88.
- By Prime Factorization
- By Listing Common Factors
- By Long Division