What is the Greatest Common Factor of 92640 and 92645?

Greatest common factor (GCF) of 92640 and 92645 is 5.

GCF(92640,92645) = 5

We will now calculate the prime factors of 92640 and 92645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92640 and 92645.

How to find the GCF of 92640 and 92645?

We will first find the prime factorization of 92640 and 92645. After we will calculate the factors of 92640 and 92645 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 92645

Prime factors of 92645 are 5, 7, 2647. Prime factorization of 92645 in exponential form is:

92645 = 5¹ × 7¹ × 2647¹

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 92645

List of positive integer factors of 92645 that divides 92640 without a remainder.

1, 5, 7, 35, 2647, 13235, 18529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92640 and 92645. The biggest common factor number is the GCF number.
So the greatest common factor 92640 and 92645 is 5.

Also check out the Least Common Multiple of 92640 and 92645