What is the Greatest Common Factor of 4625 and 4639?

Greatest common factor (GCF) of 4625 and 4639 is 1.

GCF(4625,4639) = 1

We will now calculate the prime factors of 4625 and 4639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4625 and 4639.

How to find the GCF of 4625 and 4639?

We will first find the prime factorization of 4625 and 4639. After we will calculate the factors of 4625 and 4639 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 4639

Prime factors of 4639 are 4639. Prime factorization of 4639 in exponential form is:

4639 = 4639¹

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 4639

List of positive integer factors of 4639 that divides 4625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4625 and 4639. The biggest common factor number is the GCF number.
So the greatest common factor 4625 and 4639 is 1.

Also check out the Least Common Multiple of 4625 and 4639