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Find the common factors of:
(a) 20 and 28
(b) 15 and 25
(c) 35 and 50
(d) 56 and 120

Solution:

We will be using the concept of factors to solve this.

(a) Given numbers are: 20 and 28

Factors of 20 are 1, 2, 4, 5, 10, 20
Factors of 28 are 1, 2, 4, 7, 28
Therefore, the common factors of 20, and 28 are 1, 2, and 4.

(b) Given numbers are:15 and 25

Factors of 15 are 1, 3, 5, 15
Factors of 25 are 1, 5, 25
Therefore, the common factors of 15 and 25 are 1 and 5.

(c) Given numbers are:35 and 50

Factors of 35 are:1, 5, 7, 35
Factors of 50 are: 1, 2, 5, 10, 50
Therefore, the common factors of 35 and 50 are 1 and 5.

(d) Given numbers are: 56 and 120

Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 30, 40, 60, 120
Therefore, the common factors of 56 and 120 are 1,2, 4, and 8.

You can also check your answer on Online Common Factor Calculator.

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.4 Question 1

Find the common factors of: (a) 20 and 28 (b) 15 and 25 (c) 35 and 50 (d) 56 and 120

Summary:

(a) The common factors of 20 and 28 are 1, 2, and 4. (b) The common factors of 15 and 25 are 1 and 5. (c) The common factors of 35 and 50 are 1 and 5. (d) The common factors of 56 and 120 are 1,2,4 and 8.

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