What is the Greatest Common Factor of 92264 and 92272?

Greatest common factor (GCF) of 92264 and 92272 is 8.

GCF(92264,92272) = 8

We will now calculate the prime factors of 92264 and 92272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92264 and 92272.

How to find the GCF of 92264 and 92272?

We will first find the prime factorization of 92264 and 92272. After we will calculate the factors of 92264 and 92272 and find the biggest common factor number .

Step-1: Prime Factorization of 92264

Prime factors of 92264 are 2, 19, 607. Prime factorization of 92264 in exponential form is:

92264 = 2³ × 19¹ × 607¹

Step-2: Prime Factorization of 92272

Prime factors of 92272 are 2, 73, 79. Prime factorization of 92272 in exponential form is:

92272 = 2⁴ × 73¹ × 79¹

Step-3: Factors of 92264

List of positive integer factors of 92264 that divides 92264 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 607, 1214, 2428, 4856, 11533, 23066, 46132

Step-4: Factors of 92272

List of positive integer factors of 92272 that divides 92264 without a remainder.

1, 2, 4, 8, 16, 73, 79, 146, 158, 292, 316, 584, 632, 1168, 1264, 5767, 11534, 23068, 46136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92264 and 92272. The biggest common factor number is the GCF number.
So the greatest common factor 92264 and 92272 is 8.

Also check out the Least Common Multiple of 92264 and 92272