What is the Greatest Common Factor of 21444 and 21450?

Greatest common factor (GCF) of 21444 and 21450 is 6.

GCF(21444,21450) = 6

We will now calculate the prime factors of 21444 and 21450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21444 and 21450.

How to find the GCF of 21444 and 21450?

We will first find the prime factorization of 21444 and 21450. After we will calculate the factors of 21444 and 21450 and find the biggest common factor number .

Step-1: Prime Factorization of 21444

Prime factors of 21444 are 2, 3, 1787. Prime factorization of 21444 in exponential form is:

21444 = 2² × 3¹ × 1787¹

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 21444

List of positive integer factors of 21444 that divides 21444 without a remainder.

1, 2, 3, 4, 6, 12, 1787, 3574, 5361, 7148, 10722

Step-4: Factors of 21450

List of positive integer factors of 21450 that divides 21444 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 21444 and 21450. The biggest common factor number is the GCF number.
So the greatest common factor 21444 and 21450 is 6.

Also check out the Least Common Multiple of 21444 and 21450