What is the Greatest Common Factor of 21060 and 21078?

Greatest common factor (GCF) of 21060 and 21078 is 18.

GCF(21060,21078) = 18

We will now calculate the prime factors of 21060 and 21078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21060 and 21078.

How to find the GCF of 21060 and 21078?

We will first find the prime factorization of 21060 and 21078. After we will calculate the factors of 21060 and 21078 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 21078

Prime factors of 21078 are 2, 3, 1171. Prime factorization of 21078 in exponential form is:

21078 = 2¹ × 3² × 1171¹

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 21078

List of positive integer factors of 21078 that divides 21060 without a remainder.

1, 2, 3, 6, 9, 18, 1171, 2342, 3513, 7026, 10539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21060 and 21078. The biggest common factor number is the GCF number.
So the greatest common factor 21060 and 21078 is 18.

Also check out the Least Common Multiple of 21060 and 21078