What is the Greatest Common Factor of 77360 and 77378?

Greatest common factor (GCF) of 77360 and 77378 is 2.

GCF(77360,77378) = 2

We will now calculate the prime factors of 77360 and 77378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77360 and 77378.

How to find the GCF of 77360 and 77378?

We will first find the prime factorization of 77360 and 77378. After we will calculate the factors of 77360 and 77378 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 77378

Prime factors of 77378 are 2, 7, 5527. Prime factorization of 77378 in exponential form is:

77378 = 2¹ × 7¹ × 5527¹

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 77378

List of positive integer factors of 77378 that divides 77360 without a remainder.

1, 2, 7, 14, 5527, 11054, 38689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77360 and 77378. The biggest common factor number is the GCF number.
So the greatest common factor 77360 and 77378 is 2.

Also check out the Least Common Multiple of 77360 and 77378