What is the Greatest Common Factor of 2625 and 2635?

Greatest common factor (GCF) of 2625 and 2635 is 5.

GCF(2625,2635) = 5

We will now calculate the prime factors of 2625 and 2635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2625 and 2635.

How to find the GCF of 2625 and 2635?

We will first find the prime factorization of 2625 and 2635. After we will calculate the factors of 2625 and 2635 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 2635

Prime factors of 2635 are 5, 17, 31. Prime factorization of 2635 in exponential form is:

2635 = 5¹ × 17¹ × 31¹

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 2635

List of positive integer factors of 2635 that divides 2625 without a remainder.

1, 5, 17, 31, 85, 155, 527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2625 and 2635. The biggest common factor number is the GCF number.
So the greatest common factor 2625 and 2635 is 5.

Also check out the Least Common Multiple of 2625 and 2635