What is the Greatest Common Factor of 57776 and 57785?

Greatest common factor (GCF) of 57776 and 57785 is 1.

GCF(57776,57785) = 1

We will now calculate the prime factors of 57776 and 57785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57776 and 57785.

How to find the GCF of 57776 and 57785?

We will first find the prime factorization of 57776 and 57785. After we will calculate the factors of 57776 and 57785 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 57785

Prime factors of 57785 are 5, 7, 13, 127. Prime factorization of 57785 in exponential form is:

57785 = 5¹ × 7¹ × 13¹ × 127¹

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 57785

List of positive integer factors of 57785 that divides 57776 without a remainder.

1, 5, 7, 13, 35, 65, 91, 127, 455, 635, 889, 1651, 4445, 8255, 11557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57776 and 57785. The biggest common factor number is the GCF number.
So the greatest common factor 57776 and 57785 is 1.

Also check out the Least Common Multiple of 57776 and 57785