What is the Greatest Common Factor of 21672 and 21684?

Greatest common factor (GCF) of 21672 and 21684 is 12.

GCF(21672,21684) = 12

We will now calculate the prime factors of 21672 and 21684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21672 and 21684.

How to find the GCF of 21672 and 21684?

We will first find the prime factorization of 21672 and 21684. After we will calculate the factors of 21672 and 21684 and find the biggest common factor number .

Step-1: Prime Factorization of 21672

Prime factors of 21672 are 2, 3, 7, 43. Prime factorization of 21672 in exponential form is:

21672 = 2³ × 3² × 7¹ × 43¹

Step-2: Prime Factorization of 21684

Prime factors of 21684 are 2, 3, 13, 139. Prime factorization of 21684 in exponential form is:

21684 = 2² × 3¹ × 13¹ × 139¹

Step-3: Factors of 21672

List of positive integer factors of 21672 that divides 21672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 43, 56, 63, 72, 84, 86, 126, 129, 168, 172, 252, 258, 301, 344, 387, 504, 516, 602, 774, 903, 1032, 1204, 1548, 1806, 2408, 2709, 3096, 3612, 5418, 7224, 10836

Step-4: Factors of 21684

List of positive integer factors of 21684 that divides 21672 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 139, 156, 278, 417, 556, 834, 1668, 1807, 3614, 5421, 7228, 10842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21672 and 21684. The biggest common factor number is the GCF number.
So the greatest common factor 21672 and 21684 is 12.

Also check out the Least Common Multiple of 21672 and 21684