What is the Greatest Common Factor of 21438 and 21450?

Greatest common factor (GCF) of 21438 and 21450 is 6.

GCF(21438,21450) = 6

We will now calculate the prime factors of 21438 and 21450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21438 and 21450.

How to find the GCF of 21438 and 21450?

We will first find the prime factorization of 21438 and 21450. After we will calculate the factors of 21438 and 21450 and find the biggest common factor number .

Step-1: Prime Factorization of 21438

Prime factors of 21438 are 2, 3, 397. Prime factorization of 21438 in exponential form is:

21438 = 2¹ × 3³ × 397¹

Step-2: 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-3: Factors of 21438

List of positive integer factors of 21438 that divides 21438 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 397, 794, 1191, 2382, 3573, 7146, 10719

Step-4: Factors of 21450

List of positive integer factors of 21450 that divides 21438 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21438 and 21450. The biggest common factor number is the GCF number.
So the greatest common factor 21438 and 21450 is 6.

Also check out the Least Common Multiple of 21438 and 21450