What is the Greatest Common Factor of 2525 and 2530?

Greatest common factor (GCF) of 2525 and 2530 is 5.

GCF(2525,2530) = 5

We will now calculate the prime factors of 2525 and 2530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2525 and 2530.

How to find the GCF of 2525 and 2530?

We will first find the prime factorization of 2525 and 2530. After we will calculate the factors of 2525 and 2530 and find the biggest common factor number .

Step-1: Prime Factorization of 2525

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

2525 = 5² × 101¹

Step-2: Prime Factorization of 2530

Prime factors of 2530 are 2, 5, 11, 23. Prime factorization of 2530 in exponential form is:

2530 = 2¹ × 5¹ × 11¹ × 23¹

Step-3: Factors of 2525

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

1, 5, 25, 101, 505

Step-4: Factors of 2530

List of positive integer factors of 2530 that divides 2525 without a remainder.

1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2525 and 2530. The biggest common factor number is the GCF number.
So the greatest common factor 2525 and 2530 is 5.

Also check out the Least Common Multiple of 2525 and 2530