What is the Greatest Common Factor of 57341 and 57358?

Greatest common factor (GCF) of 57341 and 57358 is 17.

GCF(57341,57358) = 17

We will now calculate the prime factors of 57341 and 57358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57341 and 57358.

How to find the GCF of 57341 and 57358?

We will first find the prime factorization of 57341 and 57358. After we will calculate the factors of 57341 and 57358 and find the biggest common factor number .

Step-1: Prime Factorization of 57341

Prime factors of 57341 are 17, 3373. Prime factorization of 57341 in exponential form is:

57341 = 17¹ × 3373¹

Step-2: 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-3: Factors of 57341

List of positive integer factors of 57341 that divides 57341 without a remainder.

1, 17, 3373

Step-4: Factors of 57358

List of positive integer factors of 57358 that divides 57341 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57341 and 57358. The biggest common factor number is the GCF number.
So the greatest common factor 57341 and 57358 is 17.

Also check out the Least Common Multiple of 57341 and 57358