What is the Greatest Common Factor of 96264 and 96276?

Greatest common factor (GCF) of 96264 and 96276 is 12.

GCF(96264,96276) = 12

We will now calculate the prime factors of 96264 and 96276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96264 and 96276.

How to find the GCF of 96264 and 96276?

We will first find the prime factorization of 96264 and 96276. After we will calculate the factors of 96264 and 96276 and find the biggest common factor number .

Step-1: Prime Factorization of 96264

Prime factors of 96264 are 2, 3, 7, 191. Prime factorization of 96264 in exponential form is:

96264 = 2³ × 3² × 7¹ × 191¹

Step-2: Prime Factorization of 96276

Prime factors of 96276 are 2, 3, 71, 113. Prime factorization of 96276 in exponential form is:

96276 = 2² × 3¹ × 71¹ × 113¹

Step-3: Factors of 96264

List of positive integer factors of 96264 that divides 96264 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 191, 252, 382, 504, 573, 764, 1146, 1337, 1528, 1719, 2292, 2674, 3438, 4011, 4584, 5348, 6876, 8022, 10696, 12033, 13752, 16044, 24066, 32088, 48132

Step-4: Factors of 96276

List of positive integer factors of 96276 that divides 96264 without a remainder.

1, 2, 3, 4, 6, 12, 71, 113, 142, 213, 226, 284, 339, 426, 452, 678, 852, 1356, 8023, 16046, 24069, 32092, 48138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96264 and 96276. The biggest common factor number is the GCF number.
So the greatest common factor 96264 and 96276 is 12.

Also check out the Least Common Multiple of 96264 and 96276