What is the Greatest Common Factor of 21384 and 21402?

Greatest common factor (GCF) of 21384 and 21402 is 18.

GCF(21384,21402) = 18

We will now calculate the prime factors of 21384 and 21402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21384 and 21402.

How to find the GCF of 21384 and 21402?

We will first find the prime factorization of 21384 and 21402. After we will calculate the factors of 21384 and 21402 and find the biggest common factor number .

Step-1: Prime Factorization of 21384

Prime factors of 21384 are 2, 3, 11. Prime factorization of 21384 in exponential form is:

21384 = 2³ × 3⁵ × 11¹

Step-2: Prime Factorization of 21402

Prime factors of 21402 are 2, 3, 29, 41. Prime factorization of 21402 in exponential form is:

21402 = 2¹ × 3² × 29¹ × 41¹

Step-3: Factors of 21384

List of positive integer factors of 21384 that divides 21384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 243, 264, 297, 324, 396, 486, 594, 648, 792, 891, 972, 1188, 1782, 1944, 2376, 2673, 3564, 5346, 7128, 10692

Step-4: Factors of 21402

List of positive integer factors of 21402 that divides 21384 without a remainder.

1, 2, 3, 6, 9, 18, 29, 41, 58, 82, 87, 123, 174, 246, 261, 369, 522, 738, 1189, 2378, 3567, 7134, 10701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21384 and 21402. The biggest common factor number is the GCF number.
So the greatest common factor 21384 and 21402 is 18.

Also check out the Least Common Multiple of 21384 and 21402