What is the Greatest Common Factor of 97915 and 97930?

Greatest common factor (GCF) of 97915 and 97930 is 5.

GCF(97915,97930) = 5

We will now calculate the prime factors of 97915 and 97930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97915 and 97930.

How to find the GCF of 97915 and 97930?

We will first find the prime factorization of 97915 and 97930. After we will calculate the factors of 97915 and 97930 and find the biggest common factor number .

Step-1: Prime Factorization of 97915

Prime factors of 97915 are 5, 19583. Prime factorization of 97915 in exponential form is:

97915 = 5¹ × 19583¹

Step-2: Prime Factorization of 97930

Prime factors of 97930 are 2, 5, 7, 1399. Prime factorization of 97930 in exponential form is:

97930 = 2¹ × 5¹ × 7¹ × 1399¹

Step-3: Factors of 97915

List of positive integer factors of 97915 that divides 97915 without a remainder.

1, 5, 19583

Step-4: Factors of 97930

List of positive integer factors of 97930 that divides 97915 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1399, 2798, 6995, 9793, 13990, 19586, 48965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97915 and 97930. The biggest common factor number is the GCF number.
So the greatest common factor 97915 and 97930 is 5.

Also check out the Least Common Multiple of 97915 and 97930