What is the Greatest Common Factor of 77938 and 77944?

Greatest common factor (GCF) of 77938 and 77944 is 2.

GCF(77938,77944) = 2

We will now calculate the prime factors of 77938 and 77944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77938 and 77944.

How to find the GCF of 77938 and 77944?

We will first find the prime factorization of 77938 and 77944. After we will calculate the factors of 77938 and 77944 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77944

Prime factors of 77944 are 2, 9743. Prime factorization of 77944 in exponential form is:

77944 = 2³ × 9743¹

Step-3: Factors of 77938

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

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

Step-4: Factors of 77944

List of positive integer factors of 77944 that divides 77938 without a remainder.

1, 2, 4, 8, 9743, 19486, 38972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77938 and 77944. The biggest common factor number is the GCF number.
So the greatest common factor 77938 and 77944 is 2.

Also check out the Least Common Multiple of 77938 and 77944