What is the Greatest Common Factor of 21076 and 21086?

Greatest common factor (GCF) of 21076 and 21086 is 2.

GCF(21076,21086) = 2

We will now calculate the prime factors of 21076 and 21086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21076 and 21086.

How to find the GCF of 21076 and 21086?

We will first find the prime factorization of 21076 and 21086. After we will calculate the factors of 21076 and 21086 and find the biggest common factor number .

Step-1: Prime Factorization of 21076

Prime factors of 21076 are 2, 11, 479. Prime factorization of 21076 in exponential form is:

21076 = 2² × 11¹ × 479¹

Step-2: Prime Factorization of 21086

Prime factors of 21086 are 2, 13, 811. Prime factorization of 21086 in exponential form is:

21086 = 2¹ × 13¹ × 811¹

Step-3: Factors of 21076

List of positive integer factors of 21076 that divides 21076 without a remainder.

1, 2, 4, 11, 22, 44, 479, 958, 1916, 5269, 10538

Step-4: Factors of 21086

List of positive integer factors of 21086 that divides 21076 without a remainder.

1, 2, 13, 26, 811, 1622, 10543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21076 and 21086. The biggest common factor number is the GCF number.
So the greatest common factor 21076 and 21086 is 2.

Also check out the Least Common Multiple of 21076 and 21086