Question

Which pair of numbers has a GCF of 5?
Group of answer choices

15 and 30

5 and 21

45 and 9

20and 55

Answer 1

Answer:

20 and 55

Step-by-step explanation:

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Answer 2

Given:

Which pair of numbers has a GCF of 5?

Group of answer choices

15 and 30

5 and 21

45 and 9

20 and 55

To find:

Which pair of numbers has a GCF of 5?

Solution:

We will take each option and by using the prime factorisation method we will find which pair has a GCF of 5 from the group of numbers:

(1) 15 and 30:

Factors:

15 = 3 × 5

30 = 2 × 3 × 5

∴ GCF of 15 and 30 = 3 × 5 = 15

Thus, 15 and 30 is not the required pair with a GCF of 5.

(2) 5 and 21:

Factors:

5 = 1 × 5

21 = 1 × 3 × 7

∴ GCF of 5 and 21 = 1

Thus, 5 and 21 is not the required pair with a GCF of 5.

(3) 45 and 9:

Factors:

45 = 3 × 3 × 5

9 = 3 × 3

∴ GCF of 45 and 9 = 3 × 3 = 9

Thus, 45 and 9 is not the required pair with a GCF of 5.

(4) 5 and 21:

Factors:

20 = 2 × 2 × 5

55 = 5 × 11

∴ GCF of 20 and 55 = 5

Thus, $\boxed{\bold{\underline{20 \:and \:55 }\:is\: the\: required\: pair\: with\: a\: GCF \:of\: 5.}}$

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