What is the Greatest Common Factor of 97984 and 97989?

Greatest common factor (GCF) of 97984 and 97989 is 1.

GCF(97984,97989) = 1

We will now calculate the prime factors of 97984 and 97989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97984 and 97989.

How to find the GCF of 97984 and 97989?

We will first find the prime factorization of 97984 and 97989. After we will calculate the factors of 97984 and 97989 and find the biggest common factor number .

Step-1: Prime Factorization of 97984

Prime factors of 97984 are 2, 1531. Prime factorization of 97984 in exponential form is:

97984 = 2⁶ × 1531¹

Step-2: 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-3: Factors of 97984

List of positive integer factors of 97984 that divides 97984 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1531, 3062, 6124, 12248, 24496, 48992

Step-4: Factors of 97989

List of positive integer factors of 97989 that divides 97984 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97984 and 97989. The biggest common factor number is the GCF number.
So the greatest common factor 97984 and 97989 is 1.

Also check out the Least Common Multiple of 97984 and 97989