What is the Greatest Common Factor of 77924 and 77943?

Greatest common factor (GCF) of 77924 and 77943 is 1.

GCF(77924,77943) = 1

We will now calculate the prime factors of 77924 and 77943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77924 and 77943.

How to find the GCF of 77924 and 77943?

We will first find the prime factorization of 77924 and 77943. After we will calculate the factors of 77924 and 77943 and find the biggest common factor number .

Step-1: Prime Factorization of 77924

Prime factors of 77924 are 2, 7, 11, 23. Prime factorization of 77924 in exponential form is:

77924 = 2² × 7¹ × 11² × 23¹

Step-2: Prime Factorization of 77943

Prime factors of 77943 are 3, 25981. Prime factorization of 77943 in exponential form is:

77943 = 3¹ × 25981¹

Step-3: Factors of 77924

List of positive integer factors of 77924 that divides 77924 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 121, 154, 161, 242, 253, 308, 322, 484, 506, 644, 847, 1012, 1694, 1771, 2783, 3388, 3542, 5566, 7084, 11132, 19481, 38962

Step-4: Factors of 77943

List of positive integer factors of 77943 that divides 77924 without a remainder.

1, 3, 25981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77924 and 77943. The biggest common factor number is the GCF number.
So the greatest common factor 77924 and 77943 is 1.

Also check out the Least Common Multiple of 77924 and 77943