What is the Greatest Common Factor of 2527 and 2541?

Greatest common factor (GCF) of 2527 and 2541 is 7.

GCF(2527,2541) = 7

We will now calculate the prime factors of 2527 and 2541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2527 and 2541.

How to find the GCF of 2527 and 2541?

We will first find the prime factorization of 2527 and 2541. After we will calculate the factors of 2527 and 2541 and find the biggest common factor number .

Step-1: Prime Factorization of 2527

Prime factors of 2527 are 7, 19. Prime factorization of 2527 in exponential form is:

2527 = 7¹ × 19²

Step-2: Prime Factorization of 2541

Prime factors of 2541 are 3, 7, 11. Prime factorization of 2541 in exponential form is:

2541 = 3¹ × 7¹ × 11²

Step-3: Factors of 2527

List of positive integer factors of 2527 that divides 2527 without a remainder.

1, 7, 19, 133, 361

Step-4: Factors of 2541

List of positive integer factors of 2541 that divides 2527 without a remainder.

1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2527 and 2541. The biggest common factor number is the GCF number.
So the greatest common factor 2527 and 2541 is 7.

Also check out the Least Common Multiple of 2527 and 2541