What is the Greatest Common Factor of 77378 and 77390?

Greatest common factor (GCF) of 77378 and 77390 is 2.

GCF(77378,77390) = 2

We will now calculate the prime factors of 77378 and 77390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77378 and 77390.

How to find the GCF of 77378 and 77390?

We will first find the prime factorization of 77378 and 77390. After we will calculate the factors of 77378 and 77390 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77390

Prime factors of 77390 are 2, 5, 71, 109. Prime factorization of 77390 in exponential form is:

77390 = 2¹ × 5¹ × 71¹ × 109¹

Step-3: Factors of 77378

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

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

Step-4: Factors of 77390

List of positive integer factors of 77390 that divides 77378 without a remainder.

1, 2, 5, 10, 71, 109, 142, 218, 355, 545, 710, 1090, 7739, 15478, 38695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77378 and 77390. The biggest common factor number is the GCF number.
So the greatest common factor 77378 and 77390 is 2.

Also check out the Least Common Multiple of 77378 and 77390