What is the Greatest Common Factor of 77713 and 77728?

Greatest common factor (GCF) of 77713 and 77728 is 1.

GCF(77713,77728) = 1

We will now calculate the prime factors of 77713 and 77728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77713 and 77728.

How to find the GCF of 77713 and 77728?

We will first find the prime factorization of 77713 and 77728. After we will calculate the factors of 77713 and 77728 and find the biggest common factor number .

Step-1: Prime Factorization of 77713

Prime factors of 77713 are 77713. Prime factorization of 77713 in exponential form is:

77713 = 77713¹

Step-2: Prime Factorization of 77728

Prime factors of 77728 are 2, 7, 347. Prime factorization of 77728 in exponential form is:

77728 = 2⁵ × 7¹ × 347¹

Step-3: Factors of 77713

List of positive integer factors of 77713 that divides 77713 without a remainder.

Step-4: Factors of 77728

List of positive integer factors of 77728 that divides 77713 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 347, 694, 1388, 2429, 2776, 4858, 5552, 9716, 11104, 19432, 38864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77713 and 77728. The biggest common factor number is the GCF number.
So the greatest common factor 77713 and 77728 is 1.

Also check out the Least Common Multiple of 77713 and 77728