What is the Greatest Common Factor of 57376 and 57384?

Greatest common factor (GCF) of 57376 and 57384 is 8.

GCF(57376,57384) = 8

We will now calculate the prime factors of 57376 and 57384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57376 and 57384.

How to find the GCF of 57376 and 57384?

We will first find the prime factorization of 57376 and 57384. After we will calculate the factors of 57376 and 57384 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 57384

Prime factors of 57384 are 2, 3, 797. Prime factorization of 57384 in exponential form is:

57384 = 2³ × 3² × 797¹

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 57384

List of positive integer factors of 57384 that divides 57376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 797, 1594, 2391, 3188, 4782, 6376, 7173, 9564, 14346, 19128, 28692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57376 and 57384. The biggest common factor number is the GCF number.
So the greatest common factor 57376 and 57384 is 8.

Also check out the Least Common Multiple of 57376 and 57384