What is the Greatest Common Factor of 97924 and 97930?

Greatest common factor (GCF) of 97924 and 97930 is 2.

GCF(97924,97930) = 2

We will now calculate the prime factors of 97924 and 97930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97924 and 97930.

How to find the GCF of 97924 and 97930?

We will first find the prime factorization of 97924 and 97930. After we will calculate the factors of 97924 and 97930 and find the biggest common factor number .

Step-1: Prime Factorization of 97924

Prime factors of 97924 are 2, 24481. Prime factorization of 97924 in exponential form is:

97924 = 2² × 24481¹

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 97924

List of positive integer factors of 97924 that divides 97924 without a remainder.

1, 2, 4, 24481, 48962

Step-4: Factors of 97930

List of positive integer factors of 97930 that divides 97924 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 97924 and 97930. The biggest common factor number is the GCF number.
So the greatest common factor 97924 and 97930 is 2.

Also check out the Least Common Multiple of 97924 and 97930