What is the Greatest Common Factor of 77900 and 77919?

Greatest common factor (GCF) of 77900 and 77919 is 19.

GCF(77900,77919) = 19

We will now calculate the prime factors of 77900 and 77919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77900 and 77919.

How to find the GCF of 77900 and 77919?

We will first find the prime factorization of 77900 and 77919. After we will calculate the factors of 77900 and 77919 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 77919

Prime factors of 77919 are 3, 19, 1367. Prime factorization of 77919 in exponential form is:

77919 = 3¹ × 19¹ × 1367¹

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 77919

List of positive integer factors of 77919 that divides 77900 without a remainder.

1, 3, 19, 57, 1367, 4101, 25973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77900 and 77919. The biggest common factor number is the GCF number.
So the greatest common factor 77900 and 77919 is 19.

Also check out the Least Common Multiple of 77900 and 77919