What is the Greatest Common Factor of 21054 and 21060?

Greatest common factor (GCF) of 21054 and 21060 is 6.

GCF(21054,21060) = 6

We will now calculate the prime factors of 21054 and 21060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21054 and 21060.

How to find the GCF of 21054 and 21060?

We will first find the prime factorization of 21054 and 21060. After we will calculate the factors of 21054 and 21060 and find the biggest common factor number .

Step-1: Prime Factorization of 21054

Prime factors of 21054 are 2, 3, 11, 29. Prime factorization of 21054 in exponential form is:

21054 = 2¹ × 3¹ × 11² × 29¹

Step-2: 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-3: Factors of 21054

List of positive integer factors of 21054 that divides 21054 without a remainder.

1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 121, 174, 242, 319, 363, 638, 726, 957, 1914, 3509, 7018, 10527

Step-4: Factors of 21060

List of positive integer factors of 21060 that divides 21054 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21054 and 21060. The biggest common factor number is the GCF number.
So the greatest common factor 21054 and 21060 is 6.

Also check out the Least Common Multiple of 21054 and 21060