What is the Greatest Common Factor of 77915 and 77930?

Greatest common factor (GCF) of 77915 and 77930 is 5.

GCF(77915,77930) = 5

We will now calculate the prime factors of 77915 and 77930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77915 and 77930.

How to find the GCF of 77915 and 77930?

We will first find the prime factorization of 77915 and 77930. After we will calculate the factors of 77915 and 77930 and find the biggest common factor number .

Step-1: Prime Factorization of 77915

Prime factors of 77915 are 5, 15583. Prime factorization of 77915 in exponential form is:

77915 = 5¹ × 15583¹

Step-2: Prime Factorization of 77930

Prime factors of 77930 are 2, 5, 7793. Prime factorization of 77930 in exponential form is:

77930 = 2¹ × 5¹ × 7793¹

Step-3: Factors of 77915

List of positive integer factors of 77915 that divides 77915 without a remainder.

1, 5, 15583

Step-4: Factors of 77930

List of positive integer factors of 77930 that divides 77915 without a remainder.

1, 2, 5, 10, 7793, 15586, 38965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77915 and 77930. The biggest common factor number is the GCF number.
So the greatest common factor 77915 and 77930 is 5.

Also check out the Least Common Multiple of 77915 and 77930