What is the Greatest Common Factor of 47625 and 47631?

Greatest common factor (GCF) of 47625 and 47631 is 3.

GCF(47625,47631) = 3

We will now calculate the prime factors of 47625 and 47631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47625 and 47631.

How to find the GCF of 47625 and 47631?

We will first find the prime factorization of 47625 and 47631. After we will calculate the factors of 47625 and 47631 and find the biggest common factor number .

Step-1: Prime Factorization of 47625

Prime factors of 47625 are 3, 5, 127. Prime factorization of 47625 in exponential form is:

47625 = 3¹ × 5³ × 127¹

Step-2: Prime Factorization of 47631

Prime factors of 47631 are 3, 15877. Prime factorization of 47631 in exponential form is:

47631 = 3¹ × 15877¹

Step-3: Factors of 47625

List of positive integer factors of 47625 that divides 47625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 127, 375, 381, 635, 1905, 3175, 9525, 15875

Step-4: Factors of 47631

List of positive integer factors of 47631 that divides 47625 without a remainder.

1, 3, 15877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47625 and 47631. The biggest common factor number is the GCF number.
So the greatest common factor 47625 and 47631 is 3.

Also check out the Least Common Multiple of 47625 and 47631