What is the Greatest Common Factor of 57508 and 57517?

Greatest common factor (GCF) of 57508 and 57517 is 1.

GCF(57508,57517) = 1

We will now calculate the prime factors of 57508 and 57517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57508 and 57517.

How to find the GCF of 57508 and 57517?

We will first find the prime factorization of 57508 and 57517. After we will calculate the factors of 57508 and 57517 and find the biggest common factor number .

Step-1: Prime Factorization of 57508

Prime factors of 57508 are 2, 11, 1307. Prime factorization of 57508 in exponential form is:

57508 = 2² × 11¹ × 1307¹

Step-2: Prime Factorization of 57517

Prime factors of 57517 are 113, 509. Prime factorization of 57517 in exponential form is:

57517 = 113¹ × 509¹

Step-3: Factors of 57508

List of positive integer factors of 57508 that divides 57508 without a remainder.

1, 2, 4, 11, 22, 44, 1307, 2614, 5228, 14377, 28754

Step-4: Factors of 57517

List of positive integer factors of 57517 that divides 57508 without a remainder.

1, 113, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57508 and 57517. The biggest common factor number is the GCF number.
So the greatest common factor 57508 and 57517 is 1.

Also check out the Least Common Multiple of 57508 and 57517