What is the Greatest Common Factor of 95968 and 95976?

Greatest common factor (GCF) of 95968 and 95976 is 8.

GCF(95968,95976) = 8

We will now calculate the prime factors of 95968 and 95976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95968 and 95976.

How to find the GCF of 95968 and 95976?

We will first find the prime factorization of 95968 and 95976. After we will calculate the factors of 95968 and 95976 and find the biggest common factor number .

Step-1: Prime Factorization of 95968

Prime factors of 95968 are 2, 2999. Prime factorization of 95968 in exponential form is:

95968 = 2⁵ × 2999¹

Step-2: Prime Factorization of 95976

Prime factors of 95976 are 2, 3, 31, 43. Prime factorization of 95976 in exponential form is:

95976 = 2³ × 3² × 31¹ × 43¹

Step-3: Factors of 95968

List of positive integer factors of 95968 that divides 95968 without a remainder.

1, 2, 4, 8, 16, 32, 2999, 5998, 11996, 23992, 47984

Step-4: Factors of 95976

List of positive integer factors of 95976 that divides 95968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 43, 62, 72, 86, 93, 124, 129, 172, 186, 248, 258, 279, 344, 372, 387, 516, 558, 744, 774, 1032, 1116, 1333, 1548, 2232, 2666, 3096, 3999, 5332, 7998, 10664, 11997, 15996, 23994, 31992, 47988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95968 and 95976. The biggest common factor number is the GCF number.
So the greatest common factor 95968 and 95976 is 8.

Also check out the Least Common Multiple of 95968 and 95976