What is the Greatest Common Factor of 21450 and 21459?

Greatest common factor (GCF) of 21450 and 21459 is 3.

GCF(21450,21459) = 3

We will now calculate the prime factors of 21450 and 21459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21450 and 21459.

How to find the GCF of 21450 and 21459?

We will first find the prime factorization of 21450 and 21459. After we will calculate the factors of 21450 and 21459 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 21459

Prime factors of 21459 are 3, 23, 311. Prime factorization of 21459 in exponential form is:

21459 = 3¹ × 23¹ × 311¹

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 21459

List of positive integer factors of 21459 that divides 21450 without a remainder.

1, 3, 23, 69, 311, 933, 7153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21450 and 21459. The biggest common factor number is the GCF number.
So the greatest common factor 21450 and 21459 is 3.

Also check out the Least Common Multiple of 21450 and 21459