What is the Greatest Common Factor of 96264 and 96272?

Greatest common factor (GCF) of 96264 and 96272 is 8.

GCF(96264,96272) = 8

We will now calculate the prime factors of 96264 and 96272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96264 and 96272.

How to find the GCF of 96264 and 96272?

We will first find the prime factorization of 96264 and 96272. After we will calculate the factors of 96264 and 96272 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 96272

Prime factors of 96272 are 2, 11, 547. Prime factorization of 96272 in exponential form is:

96272 = 2⁴ × 11¹ × 547¹

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 96272

List of positive integer factors of 96272 that divides 96264 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 547, 1094, 2188, 4376, 6017, 8752, 12034, 24068, 48136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96264 and 96272. The biggest common factor number is the GCF number.
So the greatest common factor 96264 and 96272 is 8.

Also check out the Least Common Multiple of 96264 and 96272