What is the Greatest Common Factor of 97965 and 97974?

Greatest common factor (GCF) of 97965 and 97974 is 9.

GCF(97965,97974) = 9

We will now calculate the prime factors of 97965 and 97974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97965 and 97974.

How to find the GCF of 97965 and 97974?

We will first find the prime factorization of 97965 and 97974. After we will calculate the factors of 97965 and 97974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97974

Prime factors of 97974 are 2, 3, 5443. Prime factorization of 97974 in exponential form is:

97974 = 2¹ × 3² × 5443¹

Step-3: Factors of 97965

List of positive integer factors of 97965 that divides 97965 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

Step-4: Factors of 97974

List of positive integer factors of 97974 that divides 97965 without a remainder.

1, 2, 3, 6, 9, 18, 5443, 10886, 16329, 32658, 48987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97965 and 97974. The biggest common factor number is the GCF number.
So the greatest common factor 97965 and 97974 is 9.

Also check out the Least Common Multiple of 97965 and 97974