What is the Greatest Common Factor of 92640 and 92649?

Greatest common factor (GCF) of 92640 and 92649 is 3.

GCF(92640,92649) = 3

We will now calculate the prime factors of 92640 and 92649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92640 and 92649.

How to find the GCF of 92640 and 92649?

We will first find the prime factorization of 92640 and 92649. After we will calculate the factors of 92640 and 92649 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 92649

Prime factors of 92649 are 3, 89, 347. Prime factorization of 92649 in exponential form is:

92649 = 3¹ × 89¹ × 347¹

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 92649

List of positive integer factors of 92649 that divides 92640 without a remainder.

1, 3, 89, 267, 347, 1041, 30883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92640 and 92649. The biggest common factor number is the GCF number.
So the greatest common factor 92640 and 92649 is 3.

Also check out the Least Common Multiple of 92640 and 92649