What is the Greatest Common Factor of 77708 and 77728?

Greatest common factor (GCF) of 77708 and 77728 is 4.

GCF(77708,77728) = 4

We will now calculate the prime factors of 77708 and 77728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77708 and 77728.

How to find the GCF of 77708 and 77728?

We will first find the prime factorization of 77708 and 77728. After we will calculate the factors of 77708 and 77728 and find the biggest common factor number .

Step-1: Prime Factorization of 77708

Prime factors of 77708 are 2, 19427. Prime factorization of 77708 in exponential form is:

77708 = 2² × 19427¹

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 77708

List of positive integer factors of 77708 that divides 77708 without a remainder.

1, 2, 4, 19427, 38854

Step-4: Factors of 77728

List of positive integer factors of 77728 that divides 77708 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 77708 and 77728. The biggest common factor number is the GCF number.
So the greatest common factor 77708 and 77728 is 4.

Also check out the Least Common Multiple of 77708 and 77728