What is the Greatest Common Factor of 68625 and 68631?

Greatest common factor (GCF) of 68625 and 68631 is 3.

GCF(68625,68631) = 3

We will now calculate the prime factors of 68625 and 68631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68625 and 68631.

How to find the GCF of 68625 and 68631?

We will first find the prime factorization of 68625 and 68631. After we will calculate the factors of 68625 and 68631 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 68631

Prime factors of 68631 are 3, 22877. Prime factorization of 68631 in exponential form is:

68631 = 3¹ × 22877¹

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 68631

List of positive integer factors of 68631 that divides 68625 without a remainder.

1, 3, 22877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68625 and 68631. The biggest common factor number is the GCF number.
So the greatest common factor 68625 and 68631 is 3.

Also check out the Least Common Multiple of 68625 and 68631