What is the Greatest Common Factor of 92624 and 92631?

Greatest common factor (GCF) of 92624 and 92631 is 7.

GCF(92624,92631) = 7

We will now calculate the prime factors of 92624 and 92631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92624 and 92631.

How to find the GCF of 92624 and 92631?

We will first find the prime factorization of 92624 and 92631. After we will calculate the factors of 92624 and 92631 and find the biggest common factor number .

Step-1: Prime Factorization of 92624

Prime factors of 92624 are 2, 7, 827. Prime factorization of 92624 in exponential form is:

92624 = 2⁴ × 7¹ × 827¹

Step-2: Prime Factorization of 92631

Prime factors of 92631 are 3, 7, 11, 401. Prime factorization of 92631 in exponential form is:

92631 = 3¹ × 7¹ × 11¹ × 401¹

Step-3: Factors of 92624

List of positive integer factors of 92624 that divides 92624 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 827, 1654, 3308, 5789, 6616, 11578, 13232, 23156, 46312

Step-4: Factors of 92631

List of positive integer factors of 92631 that divides 92624 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 401, 1203, 2807, 4411, 8421, 13233, 30877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92624 and 92631. The biggest common factor number is the GCF number.
So the greatest common factor 92624 and 92631 is 7.

Also check out the Least Common Multiple of 92624 and 92631