What is the Greatest Common Factor of 77920 and 77936?

Greatest common factor (GCF) of 77920 and 77936 is 16.

GCF(77920,77936) = 16

We will now calculate the prime factors of 77920 and 77936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77920 and 77936.

How to find the GCF of 77920 and 77936?

We will first find the prime factorization of 77920 and 77936. After we will calculate the factors of 77920 and 77936 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 77936

Prime factors of 77936 are 2, 4871. Prime factorization of 77936 in exponential form is:

77936 = 2⁴ × 4871¹

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 77936

List of positive integer factors of 77936 that divides 77920 without a remainder.

1, 2, 4, 8, 16, 4871, 9742, 19484, 38968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77920 and 77936. The biggest common factor number is the GCF number.
So the greatest common factor 77920 and 77936 is 16.

Also check out the Least Common Multiple of 77920 and 77936