What is the Greatest Common Factor of 3625 and 3631?

Greatest common factor (GCF) of 3625 and 3631 is 1.

GCF(3625,3631) = 1

We will now calculate the prime factors of 3625 and 3631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3625 and 3631.

How to find the GCF of 3625 and 3631?

We will first find the prime factorization of 3625 and 3631. After we will calculate the factors of 3625 and 3631 and find the biggest common factor number .

Step-1: Prime Factorization of 3625

Prime factors of 3625 are 5, 29. Prime factorization of 3625 in exponential form is:

3625 = 5³ × 29¹

Step-2: Prime Factorization of 3631

Prime factors of 3631 are 3631. Prime factorization of 3631 in exponential form is:

3631 = 3631¹

Step-3: Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1, 5, 25, 29, 125, 145, 725

Step-4: Factors of 3631

List of positive integer factors of 3631 that divides 3625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3625 and 3631. The biggest common factor number is the GCF number.
So the greatest common factor 3625 and 3631 is 1.

Also check out the Least Common Multiple of 3625 and 3631