What is the Greatest Common Factor of 57488 and 57507?

Greatest common factor (GCF) of 57488 and 57507 is 1.

GCF(57488,57507) = 1

We will now calculate the prime factors of 57488 and 57507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57488 and 57507.

How to find the GCF of 57488 and 57507?

We will first find the prime factorization of 57488 and 57507. After we will calculate the factors of 57488 and 57507 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 57507

Prime factors of 57507 are 3, 29, 661. Prime factorization of 57507 in exponential form is:

57507 = 3¹ × 29¹ × 661¹

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 57507

List of positive integer factors of 57507 that divides 57488 without a remainder.

1, 3, 29, 87, 661, 1983, 19169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57488 and 57507. The biggest common factor number is the GCF number.
So the greatest common factor 57488 and 57507 is 1.

Also check out the Least Common Multiple of 57488 and 57507