What is the Greatest Common Factor of 21450 and 21465?

Greatest common factor (GCF) of 21450 and 21465 is 15.

GCF(21450,21465) = 15

We will now calculate the prime factors of 21450 and 21465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21450 and 21465.

How to find the GCF of 21450 and 21465?

We will first find the prime factorization of 21450 and 21465. After we will calculate the factors of 21450 and 21465 and find the biggest common factor number .

Step-1: Prime Factorization of 21450

Prime factors of 21450 are 2, 3, 5, 11, 13. Prime factorization of 21450 in exponential form is:

21450 = 2¹ × 3¹ × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 21465

Prime factors of 21465 are 3, 5, 53. Prime factorization of 21465 in exponential form is:

21465 = 3⁴ × 5¹ × 53¹

Step-3: Factors of 21450

List of positive integer factors of 21450 that divides 21450 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 25, 26, 30, 33, 39, 50, 55, 65, 66, 75, 78, 110, 130, 143, 150, 165, 195, 275, 286, 325, 330, 390, 429, 550, 650, 715, 825, 858, 975, 1430, 1650, 1950, 2145, 3575, 4290, 7150, 10725

Step-4: Factors of 21465

List of positive integer factors of 21465 that divides 21450 without a remainder.

1, 3, 5, 9, 15, 27, 45, 53, 81, 135, 159, 265, 405, 477, 795, 1431, 2385, 4293, 7155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21450 and 21465. The biggest common factor number is the GCF number.
So the greatest common factor 21450 and 21465 is 15.

Also check out the Least Common Multiple of 21450 and 21465