What is the Greatest Common Factor of 92624 and 92640?

Greatest common factor (GCF) of 92624 and 92640 is 16.

GCF(92624,92640) = 16

We will now calculate the prime factors of 92624 and 92640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92624 and 92640.

How to find the GCF of 92624 and 92640?

We will first find the prime factorization of 92624 and 92640. After we will calculate the factors of 92624 and 92640 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 92640

Prime factors of 92640 are 2, 3, 5, 193. Prime factorization of 92640 in exponential form is:

92640 = 2⁵ × 3¹ × 5¹ × 193¹

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 92640

List of positive integer factors of 92640 that divides 92624 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 193, 240, 386, 480, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3088, 3860, 4632, 5790, 6176, 7720, 9264, 11580, 15440, 18528, 23160, 30880, 46320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92624 and 92640. The biggest common factor number is the GCF number.
So the greatest common factor 92624 and 92640 is 16.

Also check out the Least Common Multiple of 92624 and 92640