What is the Greatest Common Factor of 92544 and 92562?

Greatest common factor (GCF) of 92544 and 92562 is 6.

GCF(92544,92562) = 6

We will now calculate the prime factors of 92544 and 92562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92544 and 92562.

How to find the GCF of 92544 and 92562?

We will first find the prime factorization of 92544 and 92562. After we will calculate the factors of 92544 and 92562 and find the biggest common factor number .

Step-1: Prime Factorization of 92544

Prime factors of 92544 are 2, 3, 241. Prime factorization of 92544 in exponential form is:

92544 = 2⁷ × 3¹ × 241¹

Step-2: Prime Factorization of 92562

Prime factors of 92562 are 2, 3, 15427. Prime factorization of 92562 in exponential form is:

92562 = 2¹ × 3¹ × 15427¹

Step-3: Factors of 92544

List of positive integer factors of 92544 that divides 92544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 241, 384, 482, 723, 964, 1446, 1928, 2892, 3856, 5784, 7712, 11568, 15424, 23136, 30848, 46272

Step-4: Factors of 92562

List of positive integer factors of 92562 that divides 92544 without a remainder.

1, 2, 3, 6, 15427, 30854, 46281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92544 and 92562. The biggest common factor number is the GCF number.
So the greatest common factor 92544 and 92562 is 6.

Also check out the Least Common Multiple of 92544 and 92562