What is the Greatest Common Factor of 4625 and 4640?

Greatest common factor (GCF) of 4625 and 4640 is 5.

GCF(4625,4640) = 5

We will now calculate the prime factors of 4625 and 4640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4625 and 4640.

How to find the GCF of 4625 and 4640?

We will first find the prime factorization of 4625 and 4640. After we will calculate the factors of 4625 and 4640 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 4640

Prime factors of 4640 are 2, 5, 29. Prime factorization of 4640 in exponential form is:

4640 = 2⁵ × 5¹ × 29¹

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 4640

List of positive integer factors of 4640 that divides 4625 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4625 and 4640. The biggest common factor number is the GCF number.
So the greatest common factor 4625 and 4640 is 5.

Also check out the Least Common Multiple of 4625 and 4640