What is the Greatest Common Factor of 77360 and 77379?

Greatest common factor (GCF) of 77360 and 77379 is 1.

GCF(77360,77379) = 1

We will now calculate the prime factors of 77360 and 77379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77360 and 77379.

How to find the GCF of 77360 and 77379?

We will first find the prime factorization of 77360 and 77379. After we will calculate the factors of 77360 and 77379 and find the biggest common factor number .

Step-1: Prime Factorization of 77360

Prime factors of 77360 are 2, 5, 967. Prime factorization of 77360 in exponential form is:

77360 = 2⁴ × 5¹ × 967¹

Step-2: Prime Factorization of 77379

Prime factors of 77379 are 3, 25793. Prime factorization of 77379 in exponential form is:

77379 = 3¹ × 25793¹

Step-3: Factors of 77360

List of positive integer factors of 77360 that divides 77360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 38680

Step-4: Factors of 77379

List of positive integer factors of 77379 that divides 77360 without a remainder.

1, 3, 25793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77360 and 77379. The biggest common factor number is the GCF number.
So the greatest common factor 77360 and 77379 is 1.

Also check out the Least Common Multiple of 77360 and 77379