What is the Greatest Common Factor of 95976 and 95988?

Greatest common factor (GCF) of 95976 and 95988 is 12.

GCF(95976,95988) = 12

We will now calculate the prime factors of 95976 and 95988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95976 and 95988.

How to find the GCF of 95976 and 95988?

We will first find the prime factorization of 95976 and 95988. After we will calculate the factors of 95976 and 95988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95988

Prime factors of 95988 are 2, 3, 19, 421. Prime factorization of 95988 in exponential form is:

95988 = 2² × 3¹ × 19¹ × 421¹

Step-3: Factors of 95976

List of positive integer factors of 95976 that divides 95976 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

Step-4: Factors of 95988

List of positive integer factors of 95988 that divides 95976 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 421, 842, 1263, 1684, 2526, 5052, 7999, 15998, 23997, 31996, 47994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95976 and 95988. The biggest common factor number is the GCF number.
So the greatest common factor 95976 and 95988 is 12.

Also check out the Least Common Multiple of 95976 and 95988