What is the Greatest Common Factor of 21060 and 21067?

Greatest common factor (GCF) of 21060 and 21067 is 1.

GCF(21060,21067) = 1

We will now calculate the prime factors of 21060 and 21067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21060 and 21067.

How to find the GCF of 21060 and 21067?

We will first find the prime factorization of 21060 and 21067. After we will calculate the factors of 21060 and 21067 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 21067

Prime factors of 21067 are 21067. Prime factorization of 21067 in exponential form is:

21067 = 21067¹

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 21067

List of positive integer factors of 21067 that divides 21060 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21060 and 21067. The biggest common factor number is the GCF number.
So the greatest common factor 21060 and 21067 is 1.

Also check out the Least Common Multiple of 21060 and 21067