What is the Greatest Common Factor of 57482 and 57488?

Greatest common factor (GCF) of 57482 and 57488 is 2.

GCF(57482,57488) = 2

We will now calculate the prime factors of 57482 and 57488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57482 and 57488.

How to find the GCF of 57482 and 57488?

We will first find the prime factorization of 57482 and 57488. After we will calculate the factors of 57482 and 57488 and find the biggest common factor number .

Step-1: Prime Factorization of 57482

Prime factors of 57482 are 2, 41, 701. Prime factorization of 57482 in exponential form is:

57482 = 2¹ × 41¹ × 701¹

Step-2: Prime Factorization of 57488

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

57488 = 2⁴ × 3593¹

Step-3: Factors of 57482

List of positive integer factors of 57482 that divides 57482 without a remainder.

1, 2, 41, 82, 701, 1402, 28741

Step-4: Factors of 57488

List of positive integer factors of 57488 that divides 57482 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57482 and 57488. The biggest common factor number is the GCF number.
So the greatest common factor 57482 and 57488 is 2.

Also check out the Least Common Multiple of 57482 and 57488