What is the Greatest Common Factor of 57776 and 57790?

Greatest common factor (GCF) of 57776 and 57790 is 2.

GCF(57776,57790) = 2

We will now calculate the prime factors of 57776 and 57790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57776 and 57790.

How to find the GCF of 57776 and 57790?

We will first find the prime factorization of 57776 and 57790. After we will calculate the factors of 57776 and 57790 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 57790

Prime factors of 57790 are 2, 5, 5779. Prime factorization of 57790 in exponential form is:

57790 = 2¹ × 5¹ × 5779¹

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 57790

List of positive integer factors of 57790 that divides 57776 without a remainder.

1, 2, 5, 10, 5779, 11558, 28895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57776 and 57790. The biggest common factor number is the GCF number.
So the greatest common factor 57776 and 57790 is 2.

Also check out the Least Common Multiple of 57776 and 57790