What is the Greatest Common Factor of 21384 and 21404?

Greatest common factor (GCF) of 21384 and 21404 is 4.

GCF(21384,21404) = 4

We will now calculate the prime factors of 21384 and 21404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21384 and 21404.

How to find the GCF of 21384 and 21404?

We will first find the prime factorization of 21384 and 21404. After we will calculate the factors of 21384 and 21404 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 21404

Prime factors of 21404 are 2, 5351. Prime factorization of 21404 in exponential form is:

21404 = 2² × 5351¹

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 21404

List of positive integer factors of 21404 that divides 21384 without a remainder.

1, 2, 4, 5351, 10702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21384 and 21404. The biggest common factor number is the GCF number.
So the greatest common factor 21384 and 21404 is 4.

Also check out the Least Common Multiple of 21384 and 21404