What is the Greatest Common Factor of 57358 and 57365?

Greatest common factor (GCF) of 57358 and 57365 is 7.

GCF(57358,57365) = 7

We will now calculate the prime factors of 57358 and 57365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57358 and 57365.

How to find the GCF of 57358 and 57365?

We will first find the prime factorization of 57358 and 57365. After we will calculate the factors of 57358 and 57365 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 57365

Prime factors of 57365 are 5, 7, 11, 149. Prime factorization of 57365 in exponential form is:

57365 = 5¹ × 7¹ × 11¹ × 149¹

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 57365

List of positive integer factors of 57365 that divides 57358 without a remainder.

1, 5, 7, 11, 35, 55, 77, 149, 385, 745, 1043, 1639, 5215, 8195, 11473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57358 and 57365. The biggest common factor number is the GCF number.
So the greatest common factor 57358 and 57365 is 7.

Also check out the Least Common Multiple of 57358 and 57365