What is the Greatest Common Factor of 2506 and 2525?

Greatest common factor (GCF) of 2506 and 2525 is 1.

GCF(2506,2525) = 1

We will now calculate the prime factors of 2506 and 2525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2506 and 2525.

How to find the GCF of 2506 and 2525?

We will first find the prime factorization of 2506 and 2525. After we will calculate the factors of 2506 and 2525 and find the biggest common factor number .

Step-1: Prime Factorization of 2506

Prime factors of 2506 are 2, 7, 179. Prime factorization of 2506 in exponential form is:

2506 = 2¹ × 7¹ × 179¹

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 2506

List of positive integer factors of 2506 that divides 2506 without a remainder.

1, 2, 7, 14, 179, 358, 1253

Step-4: Factors of 2525

List of positive integer factors of 2525 that divides 2506 without a remainder.

1, 5, 25, 101, 505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2506 and 2525. The biggest common factor number is the GCF number.
So the greatest common factor 2506 and 2525 is 1.

Also check out the Least Common Multiple of 2506 and 2525