What is the Greatest Common Factor of 97950 and 97965?

Greatest common factor (GCF) of 97950 and 97965 is 15.

GCF(97950,97965) = 15

We will now calculate the prime factors of 97950 and 97965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97950 and 97965.

How to find the GCF of 97950 and 97965?

We will first find the prime factorization of 97950 and 97965. After we will calculate the factors of 97950 and 97965 and find the biggest common factor number .

Step-1: Prime Factorization of 97950

Prime factors of 97950 are 2, 3, 5, 653. Prime factorization of 97950 in exponential form is:

97950 = 2¹ × 3¹ × 5² × 653¹

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 97950

List of positive integer factors of 97950 that divides 97950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 653, 1306, 1959, 3265, 3918, 6530, 9795, 16325, 19590, 32650, 48975

Step-4: Factors of 97965

List of positive integer factors of 97965 that divides 97950 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 97950 and 97965. The biggest common factor number is the GCF number.
So the greatest common factor 97950 and 97965 is 15.

Also check out the Least Common Multiple of 97950 and 97965