What is the Greatest Common Factor of 2527 and 2535?

Greatest common factor (GCF) of 2527 and 2535 is 1.

GCF(2527,2535) = 1

We will now calculate the prime factors of 2527 and 2535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2527 and 2535.

How to find the GCF of 2527 and 2535?

We will first find the prime factorization of 2527 and 2535. After we will calculate the factors of 2527 and 2535 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 2535

Prime factors of 2535 are 3, 5, 13. Prime factorization of 2535 in exponential form is:

2535 = 3¹ × 5¹ × 13²

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 2535

List of positive integer factors of 2535 that divides 2527 without a remainder.

1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2527 and 2535. The biggest common factor number is the GCF number.
So the greatest common factor 2527 and 2535 is 1.

Also check out the Least Common Multiple of 2527 and 2535