What is the Greatest Common Factor of 57488 and 57506?

Greatest common factor (GCF) of 57488 and 57506 is 2.

GCF(57488,57506) = 2

We will now calculate the prime factors of 57488 and 57506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57488 and 57506.

How to find the GCF of 57488 and 57506?

We will first find the prime factorization of 57488 and 57506. After we will calculate the factors of 57488 and 57506 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 57506

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

57506 = 2¹ × 28753¹

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 57506

List of positive integer factors of 57506 that divides 57488 without a remainder.

1, 2, 28753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57488 and 57506. The biggest common factor number is the GCF number.
So the greatest common factor 57488 and 57506 is 2.

Also check out the Least Common Multiple of 57488 and 57506