What is the Greatest Common Factor of 2527 and 2537?

Greatest common factor (GCF) of 2527 and 2537 is 1.

GCF(2527,2537) = 1

We will now calculate the prime factors of 2527 and 2537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2527 and 2537.

How to find the GCF of 2527 and 2537?

We will first find the prime factorization of 2527 and 2537. After we will calculate the factors of 2527 and 2537 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 2537

Prime factors of 2537 are 43, 59. Prime factorization of 2537 in exponential form is:

2537 = 43¹ × 59¹

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 2537

List of positive integer factors of 2537 that divides 2527 without a remainder.

1, 43, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2527 and 2537. The biggest common factor number is the GCF number.
So the greatest common factor 2527 and 2537 is 1.

Also check out the Least Common Multiple of 2527 and 2537