What is the Greatest Common Factor of 77920 and 77938?

Greatest common factor (GCF) of 77920 and 77938 is 2.

GCF(77920,77938) = 2

We will now calculate the prime factors of 77920 and 77938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77920 and 77938.

How to find the GCF of 77920 and 77938?

We will first find the prime factorization of 77920 and 77938. After we will calculate the factors of 77920 and 77938 and find the biggest common factor number .

Step-1: Prime Factorization of 77920

Prime factors of 77920 are 2, 5, 487. Prime factorization of 77920 in exponential form is:

77920 = 2⁵ × 5¹ × 487¹

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 77920

List of positive integer factors of 77920 that divides 77920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 487, 974, 1948, 2435, 3896, 4870, 7792, 9740, 15584, 19480, 38960

Step-4: Factors of 77938

List of positive integer factors of 77938 that divides 77920 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 77920 and 77938. The biggest common factor number is the GCF number.
So the greatest common factor 77920 and 77938 is 2.

Also check out the Least Common Multiple of 77920 and 77938