What is the Greatest Common Factor of 92625 and 92644?

Greatest common factor (GCF) of 92625 and 92644 is 19.

GCF(92625,92644) = 19

We will now calculate the prime factors of 92625 and 92644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92625 and 92644.

How to find the GCF of 92625 and 92644?

We will first find the prime factorization of 92625 and 92644. After we will calculate the factors of 92625 and 92644 and find the biggest common factor number .

Step-1: Prime Factorization of 92625

Prime factors of 92625 are 3, 5, 13, 19. Prime factorization of 92625 in exponential form is:

92625 = 3¹ × 5³ × 13¹ × 19¹

Step-2: Prime Factorization of 92644

Prime factors of 92644 are 2, 19, 23, 53. Prime factorization of 92644 in exponential form is:

92644 = 2² × 19¹ × 23¹ × 53¹

Step-3: Factors of 92625

List of positive integer factors of 92625 that divides 92625 without a remainder.

1, 3, 5, 13, 15, 19, 25, 39, 57, 65, 75, 95, 125, 195, 247, 285, 325, 375, 475, 741, 975, 1235, 1425, 1625, 2375, 3705, 4875, 6175, 7125, 18525, 30875

Step-4: Factors of 92644

List of positive integer factors of 92644 that divides 92625 without a remainder.

1, 2, 4, 19, 23, 38, 46, 53, 76, 92, 106, 212, 437, 874, 1007, 1219, 1748, 2014, 2438, 4028, 4876, 23161, 46322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92625 and 92644. The biggest common factor number is the GCF number.
So the greatest common factor 92625 and 92644 is 19.

Also check out the Least Common Multiple of 92625 and 92644