How find the greatest common factor for 96 and 51?

Answer 1

The factors of 51 are:

1, 3, 17, 51

The factors of 96 are:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The common factors are:

1, 3

The Greatest Common Factor:

GCF = 3

Answer 2

First of all we express each number as the product of prime numbers. Prime factorization of every composite number is unique and tells us what primes multiplied together to give that composite number.

Prime factorization of 50 = 2 x 5 x 5

Prime factorization of 96 = 2 x 2 x 2 x 2 x 2 x 3

From the factorization of both numbers it is clear only 2 is common, which means 2 is the greatest number which goes into 50 and 96.

So, GCF(50, 96) = 2.

Answer 3

2 x 5 x 5 = 50

2 x 2 x 2 x 2 x 2 x 3 = 96

The GCF is 2.

Answer 4

Prime factorisations:

96 = 25*3

51 = 3*17

Common factors = 3 so GCF = 3.