What is the Greatest Common Factor of 20989 and 20997?

Greatest common factor (GCF) of 20989 and 20997 is 1.

GCF(20989,20997) = 1

We will now calculate the prime factors of 20989 and 20997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20989 and 20997.

How to find the GCF of 20989 and 20997?

We will first find the prime factorization of 20989 and 20997. After we will calculate the factors of 20989 and 20997 and find the biggest common factor number .

Step-1: Prime Factorization of 20989

Prime factors of 20989 are 139, 151. Prime factorization of 20989 in exponential form is:

20989 = 139¹ × 151¹

Step-2: Prime Factorization of 20997

Prime factors of 20997 are 3, 2333. Prime factorization of 20997 in exponential form is:

20997 = 3² × 2333¹

Step-3: Factors of 20989

List of positive integer factors of 20989 that divides 20989 without a remainder.

1, 139, 151

Step-4: Factors of 20997

List of positive integer factors of 20997 that divides 20989 without a remainder.

1, 3, 9, 2333, 6999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20989 and 20997. The biggest common factor number is the GCF number.
So the greatest common factor 20989 and 20997 is 1.

Also check out the Least Common Multiple of 20989 and 20997