What is the Greatest Common Factor of 92625 and 92634?

Greatest common factor (GCF) of 92625 and 92634 is 3.

GCF(92625,92634) = 3

We will now calculate the prime factors of 92625 and 92634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92625 and 92634.

How to find the GCF of 92625 and 92634?

We will first find the prime factorization of 92625 and 92634. After we will calculate the factors of 92625 and 92634 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 92634

Prime factors of 92634 are 2, 3, 15439. Prime factorization of 92634 in exponential form is:

92634 = 2¹ × 3¹ × 15439¹

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 92634

List of positive integer factors of 92634 that divides 92625 without a remainder.

1, 2, 3, 6, 15439, 30878, 46317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92625 and 92634. The biggest common factor number is the GCF number.
So the greatest common factor 92625 and 92634 is 3.

Also check out the Least Common Multiple of 92625 and 92634