What is the Greatest Common Factor of 57776 and 57784?

Greatest common factor (GCF) of 57776 and 57784 is 8.

GCF(57776,57784) = 8

We will now calculate the prime factors of 57776 and 57784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57776 and 57784.

How to find the GCF of 57776 and 57784?

We will first find the prime factorization of 57776 and 57784. After we will calculate the factors of 57776 and 57784 and find the biggest common factor number .

Step-1: Prime Factorization of 57776

Prime factors of 57776 are 2, 23, 157. Prime factorization of 57776 in exponential form is:

57776 = 2⁴ × 23¹ × 157¹

Step-2: Prime Factorization of 57784

Prime factors of 57784 are 2, 31, 233. Prime factorization of 57784 in exponential form is:

57784 = 2³ × 31¹ × 233¹

Step-3: Factors of 57776

List of positive integer factors of 57776 that divides 57776 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 157, 184, 314, 368, 628, 1256, 2512, 3611, 7222, 14444, 28888

Step-4: Factors of 57784

List of positive integer factors of 57784 that divides 57776 without a remainder.

1, 2, 4, 8, 31, 62, 124, 233, 248, 466, 932, 1864, 7223, 14446, 28892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57776 and 57784. The biggest common factor number is the GCF number.
So the greatest common factor 57776 and 57784 is 8.

Also check out the Least Common Multiple of 57776 and 57784