What is the Greatest Common Factor of 760 and 779?

Greatest common factor (GCF) of 760 and 779 is 19.

GCF(760,779) = 19

We will now calculate the prime factors of 760 and 779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 760 and 779.

How to find the GCF of 760 and 779?

We will first find the prime factorization of 760 and 779. After we will calculate the factors of 760 and 779 and find the biggest common factor number .

Step-1: Prime Factorization of 760

Prime factors of 760 are 2, 5, 19. Prime factorization of 760 in exponential form is:

760 = 2³ × 5¹ × 19¹

Step-2: Prime Factorization of 779

Prime factors of 779 are 19, 41. Prime factorization of 779 in exponential form is:

779 = 19¹ × 41¹

Step-3: Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380

Step-4: Factors of 779

List of positive integer factors of 779 that divides 760 without a remainder.

1, 19, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 760 and 779. The biggest common factor number is the GCF number.
So the greatest common factor 760 and 779 is 19.

Also check out the Least Common Multiple of 760 and 779