What is the Greatest Common Factor of 20996 and 21016?

Greatest common factor (GCF) of 20996 and 21016 is 4.

GCF(20996,21016) = 4

We will now calculate the prime factors of 20996 and 21016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20996 and 21016.

How to find the GCF of 20996 and 21016?

We will first find the prime factorization of 20996 and 21016. After we will calculate the factors of 20996 and 21016 and find the biggest common factor number .

Step-1: Prime Factorization of 20996

Prime factors of 20996 are 2, 29, 181. Prime factorization of 20996 in exponential form is:

20996 = 2² × 29¹ × 181¹

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 20996

List of positive integer factors of 20996 that divides 20996 without a remainder.

1, 2, 4, 29, 58, 116, 181, 362, 724, 5249, 10498

Step-4: Factors of 21016

List of positive integer factors of 21016 that divides 20996 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 20996 and 21016. The biggest common factor number is the GCF number.
So the greatest common factor 20996 and 21016 is 4.

Also check out the Least Common Multiple of 20996 and 21016