What is the Greatest Common Factor of 57358 and 57370?

Greatest common factor (GCF) of 57358 and 57370 is 2.

GCF(57358,57370) = 2

We will now calculate the prime factors of 57358 and 57370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57358 and 57370.

How to find the GCF of 57358 and 57370?

We will first find the prime factorization of 57358 and 57370. After we will calculate the factors of 57358 and 57370 and find the biggest common factor number .

Step-1: Prime Factorization of 57358

Prime factors of 57358 are 2, 7, 17, 241. Prime factorization of 57358 in exponential form is:

57358 = 2¹ × 7¹ × 17¹ × 241¹

Step-2: Prime Factorization of 57370

Prime factors of 57370 are 2, 5, 5737. Prime factorization of 57370 in exponential form is:

57370 = 2¹ × 5¹ × 5737¹

Step-3: Factors of 57358

List of positive integer factors of 57358 that divides 57358 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 241, 482, 1687, 3374, 4097, 8194, 28679

Step-4: Factors of 57370

List of positive integer factors of 57370 that divides 57358 without a remainder.

1, 2, 5, 10, 5737, 11474, 28685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57358 and 57370. The biggest common factor number is the GCF number.
So the greatest common factor 57358 and 57370 is 2.

Also check out the Least Common Multiple of 57358 and 57370