Question

HCF with explanation and step by step​

Answer 1

Step-by-step explanation:

1.Answer:

GCF = 5

for the values 20, 35

Solution by Factorization:

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 35 are: 1, 5, 7, 35

Then the greatest common factor is 5.

2.Answer:

GCF = 22

for the values 44, 66

Solution by Factorization:

The factors of 44 are: 1, 2, 4, 11, 22, 44

The factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66

Then the greatest common factor is 22.

3.Answer:

GCF = 4

for the values 108, 112

Solution by Factorization:

The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Then the greatest common factor is 4.

4.Answer:

GCF = 12

for the values 84, 96

Solution by Factorization:

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

5.Answer:

GCF = 1

for the values 21, 29

Solution by Factorization:

The factors of 21 are: 1, 3, 7, 21

The factors of 29 are: 1, 29

Then the greatest common factor is 1.

6.Answer:

GCF = 24

for the values 24, 96

Solution by Factorization:

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 24.

7.Answer:

GCF = 8

for the values 64, 72

Solution by Factorization:

The factors of 64 are: 1, 2, 4, 8, 16, 32, 64

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Then the greatest common factor is 8.

8.Answer:

GCF = 5

for the values 45, 50

Solution by Factorization:

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 50 are: 1, 2, 5, 10, 25, 50

Then the greatest common factor is 5.