What is the Greatest Common Factor of 57764 and 57778?

Greatest common factor (GCF) of 57764 and 57778 is 14.

GCF(57764,57778) = 14

We will now calculate the prime factors of 57764 and 57778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57764 and 57778.

How to find the GCF of 57764 and 57778?

We will first find the prime factorization of 57764 and 57778. After we will calculate the factors of 57764 and 57778 and find the biggest common factor number .

Step-1: Prime Factorization of 57764

Prime factors of 57764 are 2, 7, 2063. Prime factorization of 57764 in exponential form is:

57764 = 2² × 7¹ × 2063¹

Step-2: Prime Factorization of 57778

Prime factors of 57778 are 2, 7, 4127. Prime factorization of 57778 in exponential form is:

57778 = 2¹ × 7¹ × 4127¹

Step-3: Factors of 57764

List of positive integer factors of 57764 that divides 57764 without a remainder.

1, 2, 4, 7, 14, 28, 2063, 4126, 8252, 14441, 28882

Step-4: Factors of 57778

List of positive integer factors of 57778 that divides 57764 without a remainder.

1, 2, 7, 14, 4127, 8254, 28889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57764 and 57778. The biggest common factor number is the GCF number.
So the greatest common factor 57764 and 57778 is 14.

Also check out the Least Common Multiple of 57764 and 57778