What is the Greatest Common Factor of 77924 and 77938?

Greatest common factor (GCF) of 77924 and 77938 is 14.

GCF(77924,77938) = 14

We will now calculate the prime factors of 77924 and 77938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77924 and 77938.

How to find the GCF of 77924 and 77938?

We will first find the prime factorization of 77924 and 77938. After we will calculate the factors of 77924 and 77938 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 77938

Prime factors of 77938 are 2, 7, 19, 293. Prime factorization of 77938 in exponential form is:

77938 = 2¹ × 7¹ × 19¹ × 293¹

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 77938

List of positive integer factors of 77938 that divides 77924 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 293, 586, 2051, 4102, 5567, 11134, 38969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77924 and 77938. The biggest common factor number is the GCF number.
So the greatest common factor 77924 and 77938 is 14.

Also check out the Least Common Multiple of 77924 and 77938