What is the Greatest Common Factor of 77756 and 77767?

Greatest common factor (GCF) of 77756 and 77767 is 1.

GCF(77756,77767) = 1

We will now calculate the prime factors of 77756 and 77767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77756 and 77767.

How to find the GCF of 77756 and 77767?

We will first find the prime factorization of 77756 and 77767. After we will calculate the factors of 77756 and 77767 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 77767

Prime factors of 77767 are 19, 4093. Prime factorization of 77767 in exponential form is:

77767 = 19¹ × 4093¹

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 77767

List of positive integer factors of 77767 that divides 77756 without a remainder.

1, 19, 4093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77756 and 77767. The biggest common factor number is the GCF number.
So the greatest common factor 77756 and 77767 is 1.

Also check out the Least Common Multiple of 77756 and 77767