What is the Greatest Common Factor of 57376 and 57387?

Greatest common factor (GCF) of 57376 and 57387 is 11.

GCF(57376,57387) = 11

We will now calculate the prime factors of 57376 and 57387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57376 and 57387.

How to find the GCF of 57376 and 57387?

We will first find the prime factorization of 57376 and 57387. After we will calculate the factors of 57376 and 57387 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57387

Prime factors of 57387 are 3, 11, 37, 47. Prime factorization of 57387 in exponential form is:

57387 = 3¹ × 11¹ × 37¹ × 47¹

Step-3: Factors of 57376

List of positive integer factors of 57376 that divides 57376 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

Step-4: Factors of 57387

List of positive integer factors of 57387 that divides 57376 without a remainder.

1, 3, 11, 33, 37, 47, 111, 141, 407, 517, 1221, 1551, 1739, 5217, 19129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57376 and 57387. The biggest common factor number is the GCF number.
So the greatest common factor 57376 and 57387 is 11.

Also check out the Least Common Multiple of 57376 and 57387