What is the Greatest Common Factor of 21021 and 21034?

Greatest common factor (GCF) of 21021 and 21034 is 13.

GCF(21021,21034) = 13

We will now calculate the prime factors of 21021 and 21034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21021 and 21034.

How to find the GCF of 21021 and 21034?

We will first find the prime factorization of 21021 and 21034. After we will calculate the factors of 21021 and 21034 and find the biggest common factor number .

Step-1: Prime Factorization of 21021

Prime factors of 21021 are 3, 7, 11, 13. Prime factorization of 21021 in exponential form is:

21021 = 3¹ × 7² × 11¹ × 13¹

Step-2: Prime Factorization of 21034

Prime factors of 21034 are 2, 13, 809. Prime factorization of 21034 in exponential form is:

21034 = 2¹ × 13¹ × 809¹

Step-3: Factors of 21021

List of positive integer factors of 21021 that divides 21021 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 49, 77, 91, 143, 147, 231, 273, 429, 539, 637, 1001, 1617, 1911, 3003, 7007

Step-4: Factors of 21034

List of positive integer factors of 21034 that divides 21021 without a remainder.

1, 2, 13, 26, 809, 1618, 10517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21021 and 21034. The biggest common factor number is the GCF number.
So the greatest common factor 21021 and 21034 is 13.

Also check out the Least Common Multiple of 21021 and 21034