What is the Greatest Common Factor of 92640 and 92655?

Greatest common factor (GCF) of 92640 and 92655 is 15.

GCF(92640,92655) = 15

We will now calculate the prime factors of 92640 and 92655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92640 and 92655.

How to find the GCF of 92640 and 92655?

We will first find the prime factorization of 92640 and 92655. After we will calculate the factors of 92640 and 92655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92655

Prime factors of 92655 are 3, 5, 29, 71. Prime factorization of 92655 in exponential form is:

92655 = 3² × 5¹ × 29¹ × 71¹

Step-3: Factors of 92640

List of positive integer factors of 92640 that divides 92640 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

Step-4: Factors of 92655

List of positive integer factors of 92655 that divides 92640 without a remainder.

1, 3, 5, 9, 15, 29, 45, 71, 87, 145, 213, 261, 355, 435, 639, 1065, 1305, 2059, 3195, 6177, 10295, 18531, 30885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92640 and 92655. The biggest common factor number is the GCF number.
So the greatest common factor 92640 and 92655 is 15.

Also check out the Least Common Multiple of 92640 and 92655