What is the Greatest Common Factor of 68625 and 68637?

Greatest common factor (GCF) of 68625 and 68637 is 3.

GCF(68625,68637) = 3

We will now calculate the prime factors of 68625 and 68637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68625 and 68637.

How to find the GCF of 68625 and 68637?

We will first find the prime factorization of 68625 and 68637. After we will calculate the factors of 68625 and 68637 and find the biggest common factor number .

Step-1: Prime Factorization of 68625

Prime factors of 68625 are 3, 5, 61. Prime factorization of 68625 in exponential form is:

68625 = 3² × 5³ × 61¹

Step-2: Prime Factorization of 68637

Prime factors of 68637 are 3, 137, 167. Prime factorization of 68637 in exponential form is:

68637 = 3¹ × 137¹ × 167¹

Step-3: Factors of 68625

List of positive integer factors of 68625 that divides 68625 without a remainder.

1, 3, 5, 9, 15, 25, 45, 61, 75, 125, 183, 225, 305, 375, 549, 915, 1125, 1525, 2745, 4575, 7625, 13725, 22875

Step-4: Factors of 68637

List of positive integer factors of 68637 that divides 68625 without a remainder.

1, 3, 137, 167, 411, 501, 22879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68625 and 68637. The biggest common factor number is the GCF number.
So the greatest common factor 68625 and 68637 is 3.

Also check out the Least Common Multiple of 68625 and 68637