What is the Greatest Common Factor of 32983 and 32989?

Greatest common factor (GCF) of 32983 and 32989 is 1.

GCF(32983,32989) = 1

We will now calculate the prime factors of 32983 and 32989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32983 and 32989.

How to find the GCF of 32983 and 32989?

We will first find the prime factorization of 32983 and 32989. After we will calculate the factors of 32983 and 32989 and find the biggest common factor number .

Step-1: Prime Factorization of 32983

Prime factors of 32983 are 32983. Prime factorization of 32983 in exponential form is:

32983 = 32983¹

Step-2: Prime Factorization of 32989

Prime factors of 32989 are 11, 2999. Prime factorization of 32989 in exponential form is:

32989 = 11¹ × 2999¹

Step-3: Factors of 32983

List of positive integer factors of 32983 that divides 32983 without a remainder.

Step-4: Factors of 32989

List of positive integer factors of 32989 that divides 32983 without a remainder.

1, 11, 2999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32983 and 32989. The biggest common factor number is the GCF number.
So the greatest common factor 32983 and 32989 is 1.

Also check out the Least Common Multiple of 32983 and 32989