What is the Greatest Common Factor of 77756 and 77764?

Greatest common factor (GCF) of 77756 and 77764 is 4.

GCF(77756,77764) = 4

We will now calculate the prime factors of 77756 and 77764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77756 and 77764.

How to find the GCF of 77756 and 77764?

We will first find the prime factorization of 77756 and 77764. After we will calculate the factors of 77756 and 77764 and find the biggest common factor number .

Step-1: Prime Factorization of 77756

Prime factors of 77756 are 2, 7, 2777. Prime factorization of 77756 in exponential form is:

77756 = 2² × 7¹ × 2777¹

Step-2: Prime Factorization of 77764

Prime factors of 77764 are 2, 19441. Prime factorization of 77764 in exponential form is:

77764 = 2² × 19441¹

Step-3: Factors of 77756

List of positive integer factors of 77756 that divides 77756 without a remainder.

1, 2, 4, 7, 14, 28, 2777, 5554, 11108, 19439, 38878

Step-4: Factors of 77764

List of positive integer factors of 77764 that divides 77756 without a remainder.

1, 2, 4, 19441, 38882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77756 and 77764. The biggest common factor number is the GCF number.
So the greatest common factor 77756 and 77764 is 4.

Also check out the Least Common Multiple of 77756 and 77764