What is the Greatest Common Factor of 95712 and 95728?

Greatest common factor (GCF) of 95712 and 95728 is 16.

GCF(95712,95728) = 16

We will now calculate the prime factors of 95712 and 95728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95712 and 95728.

How to find the GCF of 95712 and 95728?

We will first find the prime factorization of 95712 and 95728. After we will calculate the factors of 95712 and 95728 and find the biggest common factor number .

Step-1: Prime Factorization of 95712

Prime factors of 95712 are 2, 3, 997. Prime factorization of 95712 in exponential form is:

95712 = 2⁵ × 3¹ × 997¹

Step-2: Prime Factorization of 95728

Prime factors of 95728 are 2, 31, 193. Prime factorization of 95728 in exponential form is:

95728 = 2⁴ × 31¹ × 193¹

Step-3: Factors of 95712

List of positive integer factors of 95712 that divides 95712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 997, 1994, 2991, 3988, 5982, 7976, 11964, 15952, 23928, 31904, 47856

Step-4: Factors of 95728

List of positive integer factors of 95728 that divides 95712 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 193, 248, 386, 496, 772, 1544, 3088, 5983, 11966, 23932, 47864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95712 and 95728. The biggest common factor number is the GCF number.
So the greatest common factor 95712 and 95728 is 16.

Also check out the Least Common Multiple of 95712 and 95728