What is the Greatest Common Factor of 21060 and 21073?

Greatest common factor (GCF) of 21060 and 21073 is 13.

GCF(21060,21073) = 13

We will now calculate the prime factors of 21060 and 21073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21060 and 21073.

How to find the GCF of 21060 and 21073?

We will first find the prime factorization of 21060 and 21073. After we will calculate the factors of 21060 and 21073 and find the biggest common factor number .

Step-1: Prime Factorization of 21060

Prime factors of 21060 are 2, 3, 5, 13. Prime factorization of 21060 in exponential form is:

21060 = 2² × 3⁴ × 5¹ × 13¹

Step-2: Prime Factorization of 21073

Prime factors of 21073 are 13, 1621. Prime factorization of 21073 in exponential form is:

21073 = 13¹ × 1621¹

Step-3: Factors of 21060

List of positive integer factors of 21060 that divides 21060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 81, 90, 108, 117, 130, 135, 156, 162, 180, 195, 234, 260, 270, 324, 351, 390, 405, 468, 540, 585, 702, 780, 810, 1053, 1170, 1404, 1620, 1755, 2106, 2340, 3510, 4212, 5265, 7020, 10530

Step-4: Factors of 21073

List of positive integer factors of 21073 that divides 21060 without a remainder.

1, 13, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21060 and 21073. The biggest common factor number is the GCF number.
So the greatest common factor 21060 and 21073 is 13.

Also check out the Least Common Multiple of 21060 and 21073