What is the Greatest Common Factor of 77964 and 77983?

Greatest common factor (GCF) of 77964 and 77983 is 1.

GCF(77964,77983) = 1

We will now calculate the prime factors of 77964 and 77983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77964 and 77983.

How to find the GCF of 77964 and 77983?

We will first find the prime factorization of 77964 and 77983. After we will calculate the factors of 77964 and 77983 and find the biggest common factor number .

Step-1: Prime Factorization of 77964

Prime factors of 77964 are 2, 3, 73, 89. Prime factorization of 77964 in exponential form is:

77964 = 2² × 3¹ × 73¹ × 89¹

Step-2: Prime Factorization of 77983

Prime factors of 77983 are 77983. Prime factorization of 77983 in exponential form is:

77983 = 77983¹

Step-3: Factors of 77964

List of positive integer factors of 77964 that divides 77964 without a remainder.

1, 2, 3, 4, 6, 12, 73, 89, 146, 178, 219, 267, 292, 356, 438, 534, 876, 1068, 6497, 12994, 19491, 25988, 38982

Step-4: Factors of 77983

List of positive integer factors of 77983 that divides 77964 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77964 and 77983. The biggest common factor number is the GCF number.
So the greatest common factor 77964 and 77983 is 1.

Also check out the Least Common Multiple of 77964 and 77983