What is the Greatest Common Factor of 2505 and 2525?

Greatest common factor (GCF) of 2505 and 2525 is 5.

GCF(2505,2525) = 5

We will now calculate the prime factors of 2505 and 2525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2505 and 2525.

How to find the GCF of 2505 and 2525?

We will first find the prime factorization of 2505 and 2525. After we will calculate the factors of 2505 and 2525 and find the biggest common factor number .

Step-1: Prime Factorization of 2505

Prime factors of 2505 are 3, 5, 167. Prime factorization of 2505 in exponential form is:

2505 = 3¹ × 5¹ × 167¹

Step-2: Prime Factorization of 2525

Prime factors of 2525 are 5, 101. Prime factorization of 2525 in exponential form is:

2525 = 5² × 101¹

Step-3: Factors of 2505

List of positive integer factors of 2505 that divides 2505 without a remainder.

1, 3, 5, 15, 167, 501, 835

Step-4: Factors of 2525

List of positive integer factors of 2525 that divides 2505 without a remainder.

1, 5, 25, 101, 505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2505 and 2525. The biggest common factor number is the GCF number.
So the greatest common factor 2505 and 2525 is 5.

Also check out the Least Common Multiple of 2505 and 2525