What is the Greatest Common Factor of 97958 and 97965?

Greatest common factor (GCF) of 97958 and 97965 is 7.

GCF(97958,97965) = 7

We will now calculate the prime factors of 97958 and 97965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97958 and 97965.

How to find the GCF of 97958 and 97965?

We will first find the prime factorization of 97958 and 97965. After we will calculate the factors of 97958 and 97965 and find the biggest common factor number .

Step-1: Prime Factorization of 97958

Prime factors of 97958 are 2, 7, 6997. Prime factorization of 97958 in exponential form is:

97958 = 2¹ × 7¹ × 6997¹

Step-2: Prime Factorization of 97965

Prime factors of 97965 are 3, 5, 7, 311. Prime factorization of 97965 in exponential form is:

97965 = 3² × 5¹ × 7¹ × 311¹

Step-3: Factors of 97958

List of positive integer factors of 97958 that divides 97958 without a remainder.

1, 2, 7, 14, 6997, 13994, 48979

Step-4: Factors of 97965

List of positive integer factors of 97965 that divides 97958 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 311, 315, 933, 1555, 2177, 2799, 4665, 6531, 10885, 13995, 19593, 32655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97958 and 97965. The biggest common factor number is the GCF number.
So the greatest common factor 97958 and 97965 is 7.

Also check out the Least Common Multiple of 97958 and 97965