What is the Greatest Common Factor of 21372 and 21384?

Greatest common factor (GCF) of 21372 and 21384 is 12.

GCF(21372,21384) = 12

We will now calculate the prime factors of 21372 and 21384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21372 and 21384.

How to find the GCF of 21372 and 21384?

We will first find the prime factorization of 21372 and 21384. After we will calculate the factors of 21372 and 21384 and find the biggest common factor number .

Step-1: Prime Factorization of 21372

Prime factors of 21372 are 2, 3, 13, 137. Prime factorization of 21372 in exponential form is:

21372 = 2² × 3¹ × 13¹ × 137¹

Step-2: 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-3: Factors of 21372

List of positive integer factors of 21372 that divides 21372 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 137, 156, 274, 411, 548, 822, 1644, 1781, 3562, 5343, 7124, 10686

Step-4: Factors of 21384

List of positive integer factors of 21384 that divides 21372 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21372 and 21384. The biggest common factor number is the GCF number.
So the greatest common factor 21372 and 21384 is 12.

Also check out the Least Common Multiple of 21372 and 21384