What is the Greatest Common Factor of 2625 and 2637?

Greatest common factor (GCF) of 2625 and 2637 is 3.

GCF(2625,2637) = 3

We will now calculate the prime factors of 2625 and 2637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2625 and 2637.

How to find the GCF of 2625 and 2637?

We will first find the prime factorization of 2625 and 2637. After we will calculate the factors of 2625 and 2637 and find the biggest common factor number .

Step-1: Prime Factorization of 2625

Prime factors of 2625 are 3, 5, 7. Prime factorization of 2625 in exponential form is:

2625 = 3¹ × 5³ × 7¹

Step-2: Prime Factorization of 2637

Prime factors of 2637 are 3, 293. Prime factorization of 2637 in exponential form is:

2637 = 3² × 293¹

Step-3: Factors of 2625

List of positive integer factors of 2625 that divides 2625 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875

Step-4: Factors of 2637

List of positive integer factors of 2637 that divides 2625 without a remainder.

1, 3, 9, 293, 879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2625 and 2637. The biggest common factor number is the GCF number.
So the greatest common factor 2625 and 2637 is 3.

Also check out the Least Common Multiple of 2625 and 2637