What is the Greatest Common Factor of 77900 and 77920?

Greatest common factor (GCF) of 77900 and 77920 is 20.

GCF(77900,77920) = 20

We will now calculate the prime factors of 77900 and 77920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77900 and 77920.

How to find the GCF of 77900 and 77920?

We will first find the prime factorization of 77900 and 77920. After we will calculate the factors of 77900 and 77920 and find the biggest common factor number .

Step-1: Prime Factorization of 77900

Prime factors of 77900 are 2, 5, 19, 41. Prime factorization of 77900 in exponential form is:

77900 = 2² × 5² × 19¹ × 41¹

Step-2: 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-3: Factors of 77900

List of positive integer factors of 77900 that divides 77900 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 41, 50, 76, 82, 95, 100, 164, 190, 205, 380, 410, 475, 779, 820, 950, 1025, 1558, 1900, 2050, 3116, 3895, 4100, 7790, 15580, 19475, 38950

Step-4: Factors of 77920

List of positive integer factors of 77920 that divides 77900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77900 and 77920. The biggest common factor number is the GCF number.
So the greatest common factor 77900 and 77920 is 20.

Also check out the Least Common Multiple of 77900 and 77920