What is the Greatest Common Factor of 21065 and 21076?

Greatest common factor (GCF) of 21065 and 21076 is 11.

GCF(21065,21076) = 11

We will now calculate the prime factors of 21065 and 21076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21065 and 21076.

How to find the GCF of 21065 and 21076?

We will first find the prime factorization of 21065 and 21076. After we will calculate the factors of 21065 and 21076 and find the biggest common factor number .

Step-1: Prime Factorization of 21065

Prime factors of 21065 are 5, 11, 383. Prime factorization of 21065 in exponential form is:

21065 = 5¹ × 11¹ × 383¹

Step-2: 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-3: Factors of 21065

List of positive integer factors of 21065 that divides 21065 without a remainder.

1, 5, 11, 55, 383, 1915, 4213

Step-4: Factors of 21076

List of positive integer factors of 21076 that divides 21065 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21065 and 21076. The biggest common factor number is the GCF number.
So the greatest common factor 21065 and 21076 is 11.

Also check out the Least Common Multiple of 21065 and 21076