What is the Greatest Common Factor of 57506 and 57521?

Greatest common factor (GCF) of 57506 and 57521 is 1.

GCF(57506,57521) = 1

We will now calculate the prime factors of 57506 and 57521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57506 and 57521.

How to find the GCF of 57506 and 57521?

We will first find the prime factorization of 57506 and 57521. After we will calculate the factors of 57506 and 57521 and find the biggest common factor number .

Step-1: Prime Factorization of 57506

Prime factors of 57506 are 2, 28753. Prime factorization of 57506 in exponential form is:

57506 = 2¹ × 28753¹

Step-2: Prime Factorization of 57521

Prime factors of 57521 are 97, 593. Prime factorization of 57521 in exponential form is:

57521 = 97¹ × 593¹

Step-3: Factors of 57506

List of positive integer factors of 57506 that divides 57506 without a remainder.

1, 2, 28753

Step-4: Factors of 57521

List of positive integer factors of 57521 that divides 57506 without a remainder.

1, 97, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57506 and 57521. The biggest common factor number is the GCF number.
So the greatest common factor 57506 and 57521 is 1.

Also check out the Least Common Multiple of 57506 and 57521