What is the Greatest Common Factor of 4625 and 4638?

Greatest common factor (GCF) of 4625 and 4638 is 1.

GCF(4625,4638) = 1

We will now calculate the prime factors of 4625 and 4638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4625 and 4638.

How to find the GCF of 4625 and 4638?

We will first find the prime factorization of 4625 and 4638. After we will calculate the factors of 4625 and 4638 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 4638

Prime factors of 4638 are 2, 3, 773. Prime factorization of 4638 in exponential form is:

4638 = 2¹ × 3¹ × 773¹

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 4638

List of positive integer factors of 4638 that divides 4625 without a remainder.

1, 2, 3, 6, 773, 1546, 2319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4625 and 4638. The biggest common factor number is the GCF number.
So the greatest common factor 4625 and 4638 is 1.

Also check out the Least Common Multiple of 4625 and 4638