What is the Greatest Common Factor of 97989 and 97998?

Greatest common factor (GCF) of 97989 and 97998 is 3.

GCF(97989,97998) = 3

We will now calculate the prime factors of 97989 and 97998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97989 and 97998.

How to find the GCF of 97989 and 97998?

We will first find the prime factorization of 97989 and 97998. After we will calculate the factors of 97989 and 97998 and find the biggest common factor number .

Step-1: Prime Factorization of 97989

Prime factors of 97989 are 3, 89, 367. Prime factorization of 97989 in exponential form is:

97989 = 3¹ × 89¹ × 367¹

Step-2: Prime Factorization of 97998

Prime factors of 97998 are 2, 3, 16333. Prime factorization of 97998 in exponential form is:

97998 = 2¹ × 3¹ × 16333¹

Step-3: Factors of 97989

List of positive integer factors of 97989 that divides 97989 without a remainder.

1, 3, 89, 267, 367, 1101, 32663

Step-4: Factors of 97998

List of positive integer factors of 97998 that divides 97989 without a remainder.

1, 2, 3, 6, 16333, 32666, 48999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97989 and 97998. The biggest common factor number is the GCF number.
So the greatest common factor 97989 and 97998 is 3.

Also check out the Least Common Multiple of 97989 and 97998