What is the Greatest Common Factor of 41625 and 41631?

Greatest common factor (GCF) of 41625 and 41631 is 3.

GCF(41625,41631) = 3

We will now calculate the prime factors of 41625 and 41631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41625 and 41631.

How to find the GCF of 41625 and 41631?

We will first find the prime factorization of 41625 and 41631. After we will calculate the factors of 41625 and 41631 and find the biggest common factor number .

Step-1: Prime Factorization of 41625

Prime factors of 41625 are 3, 5, 37. Prime factorization of 41625 in exponential form is:

41625 = 3² × 5³ × 37¹

Step-2: Prime Factorization of 41631

Prime factors of 41631 are 3, 13877. Prime factorization of 41631 in exponential form is:

41631 = 3¹ × 13877¹

Step-3: Factors of 41625

List of positive integer factors of 41625 that divides 41625 without a remainder.

1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 125, 185, 225, 333, 375, 555, 925, 1125, 1665, 2775, 4625, 8325, 13875

Step-4: Factors of 41631

List of positive integer factors of 41631 that divides 41625 without a remainder.

1, 3, 13877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41625 and 41631. The biggest common factor number is the GCF number.
So the greatest common factor 41625 and 41631 is 3.

Also check out the Least Common Multiple of 41625 and 41631