What is the Greatest Common Factor of 4625 and 4637?

Greatest common factor (GCF) of 4625 and 4637 is 1.

GCF(4625,4637) = 1

We will now calculate the prime factors of 4625 and 4637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4625 and 4637.

How to find the GCF of 4625 and 4637?

We will first find the prime factorization of 4625 and 4637. After we will calculate the factors of 4625 and 4637 and find the biggest common factor number .

Step-1: Prime Factorization of 4625

Prime factors of 4625 are 5, 37. Prime factorization of 4625 in exponential form is:

4625 = 5³ × 37¹

Step-2: Prime Factorization of 4637

Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:

4637 = 4637¹

Step-3: Factors of 4625

List of positive integer factors of 4625 that divides 4625 without a remainder.

1, 5, 25, 37, 125, 185, 925

Step-4: Factors of 4637

List of positive integer factors of 4637 that divides 4625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4625 and 4637. The biggest common factor number is the GCF number.
So the greatest common factor 4625 and 4637 is 1.

Also check out the Least Common Multiple of 4625 and 4637