What is the Greatest Common Factor of 20997 and 21016?

Greatest common factor (GCF) of 20997 and 21016 is 1.

GCF(20997,21016) = 1

We will now calculate the prime factors of 20997 and 21016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20997 and 21016.

How to find the GCF of 20997 and 21016?

We will first find the prime factorization of 20997 and 21016. After we will calculate the factors of 20997 and 21016 and find the biggest common factor number .

Step-1: Prime Factorization of 20997

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

20997 = 3² × 2333¹

Step-2: Prime Factorization of 21016

Prime factors of 21016 are 2, 37, 71. Prime factorization of 21016 in exponential form is:

21016 = 2³ × 37¹ × 71¹

Step-3: Factors of 20997

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

1, 3, 9, 2333, 6999

Step-4: Factors of 21016

List of positive integer factors of 21016 that divides 20997 without a remainder.

1, 2, 4, 8, 37, 71, 74, 142, 148, 284, 296, 568, 2627, 5254, 10508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20997 and 21016. The biggest common factor number is the GCF number.
So the greatest common factor 20997 and 21016 is 1.

Also check out the Least Common Multiple of 20997 and 21016