What is the Greatest Common Factor of 2605 and 2625?

Greatest common factor (GCF) of 2605 and 2625 is 5.

GCF(2605,2625) = 5

We will now calculate the prime factors of 2605 and 2625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2605 and 2625.

How to find the GCF of 2605 and 2625?

We will first find the prime factorization of 2605 and 2625. After we will calculate the factors of 2605 and 2625 and find the biggest common factor number .

Step-1: Prime Factorization of 2605

Prime factors of 2605 are 5, 521. Prime factorization of 2605 in exponential form is:

2605 = 5¹ × 521¹

Step-2: 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-3: Factors of 2605

List of positive integer factors of 2605 that divides 2605 without a remainder.

1, 5, 521

Step-4: Factors of 2625

List of positive integer factors of 2625 that divides 2605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2605 and 2625. The biggest common factor number is the GCF number.
So the greatest common factor 2605 and 2625 is 5.

Also check out the Least Common Multiple of 2605 and 2625