What is the Greatest Common Factor of 57365 and 57376?

Greatest common factor (GCF) of 57365 and 57376 is 11.

GCF(57365,57376) = 11

We will now calculate the prime factors of 57365 and 57376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57365 and 57376.

How to find the GCF of 57365 and 57376?

We will first find the prime factorization of 57365 and 57376. After we will calculate the factors of 57365 and 57376 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57376

Prime factors of 57376 are 2, 11, 163. Prime factorization of 57376 in exponential form is:

57376 = 2⁵ × 11¹ × 163¹

Step-3: Factors of 57365

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

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

Step-4: Factors of 57376

List of positive integer factors of 57376 that divides 57365 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 163, 176, 326, 352, 652, 1304, 1793, 2608, 3586, 5216, 7172, 14344, 28688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57365 and 57376. The biggest common factor number is the GCF number.
So the greatest common factor 57365 and 57376 is 11.

Also check out the Least Common Multiple of 57365 and 57376