What is the Greatest Common Factor of 97992 and 98012?

Greatest common factor (GCF) of 97992 and 98012 is 4.

GCF(97992,98012) = 4

We will now calculate the prime factors of 97992 and 98012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97992 and 98012.

How to find the GCF of 97992 and 98012?

We will first find the prime factorization of 97992 and 98012. After we will calculate the factors of 97992 and 98012 and find the biggest common factor number .

Step-1: Prime Factorization of 97992

Prime factors of 97992 are 2, 3, 1361. Prime factorization of 97992 in exponential form is:

97992 = 2³ × 3² × 1361¹

Step-2: Prime Factorization of 98012

Prime factors of 98012 are 2, 107, 229. Prime factorization of 98012 in exponential form is:

98012 = 2² × 107¹ × 229¹

Step-3: Factors of 97992

List of positive integer factors of 97992 that divides 97992 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1361, 2722, 4083, 5444, 8166, 10888, 12249, 16332, 24498, 32664, 48996

Step-4: Factors of 98012

List of positive integer factors of 98012 that divides 97992 without a remainder.

1, 2, 4, 107, 214, 229, 428, 458, 916, 24503, 49006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97992 and 98012. The biggest common factor number is the GCF number.
So the greatest common factor 97992 and 98012 is 4.

Also check out the Least Common Multiple of 97992 and 98012