What is the Greatest Common Factor of 97950 and 97962?

Greatest common factor (GCF) of 97950 and 97962 is 6.

GCF(97950,97962) = 6

We will now calculate the prime factors of 97950 and 97962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97950 and 97962.

How to find the GCF of 97950 and 97962?

We will first find the prime factorization of 97950 and 97962. After we will calculate the factors of 97950 and 97962 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 97962

Prime factors of 97962 are 2, 3, 29, 563. Prime factorization of 97962 in exponential form is:

97962 = 2¹ × 3¹ × 29¹ × 563¹

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 97962

List of positive integer factors of 97962 that divides 97950 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 563, 1126, 1689, 3378, 16327, 32654, 48981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97950 and 97962. The biggest common factor number is the GCF number.
So the greatest common factor 97950 and 97962 is 6.

Also check out the Least Common Multiple of 97950 and 97962