What is the Greatest Common Factor of 57488 and 57502?

Greatest common factor (GCF) of 57488 and 57502 is 2.

GCF(57488,57502) = 2

We will now calculate the prime factors of 57488 and 57502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57488 and 57502.

How to find the GCF of 57488 and 57502?

We will first find the prime factorization of 57488 and 57502. After we will calculate the factors of 57488 and 57502 and find the biggest common factor number .

Step-1: Prime Factorization of 57488

Prime factors of 57488 are 2, 3593. Prime factorization of 57488 in exponential form is:

57488 = 2⁴ × 3593¹

Step-2: Prime Factorization of 57502

Prime factors of 57502 are 2, 28751. Prime factorization of 57502 in exponential form is:

57502 = 2¹ × 28751¹

Step-3: Factors of 57488

List of positive integer factors of 57488 that divides 57488 without a remainder.

1, 2, 4, 8, 16, 3593, 7186, 14372, 28744

Step-4: Factors of 57502

List of positive integer factors of 57502 that divides 57488 without a remainder.

1, 2, 28751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57488 and 57502. The biggest common factor number is the GCF number.
So the greatest common factor 57488 and 57502 is 2.

Also check out the Least Common Multiple of 57488 and 57502