What is the Greatest Common Factor of 71625 and 71631?

Greatest common factor (GCF) of 71625 and 71631 is 3.

GCF(71625,71631) = 3

We will now calculate the prime factors of 71625 and 71631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71625 and 71631.

How to find the GCF of 71625 and 71631?

We will first find the prime factorization of 71625 and 71631. After we will calculate the factors of 71625 and 71631 and find the biggest common factor number .

Step-1: Prime Factorization of 71625

Prime factors of 71625 are 3, 5, 191. Prime factorization of 71625 in exponential form is:

71625 = 3¹ × 5³ × 191¹

Step-2: Prime Factorization of 71631

Prime factors of 71631 are 3, 7, 379. Prime factorization of 71631 in exponential form is:

71631 = 3³ × 7¹ × 379¹

Step-3: Factors of 71625

List of positive integer factors of 71625 that divides 71625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 191, 375, 573, 955, 2865, 4775, 14325, 23875

Step-4: Factors of 71631

List of positive integer factors of 71631 that divides 71625 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 379, 1137, 2653, 3411, 7959, 10233, 23877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71625 and 71631. The biggest common factor number is the GCF number.
So the greatest common factor 71625 and 71631 is 3.

Also check out the Least Common Multiple of 71625 and 71631