What is the Greatest Common Factor of 21252 and 21264?

Greatest common factor (GCF) of 21252 and 21264 is 12.

GCF(21252,21264) = 12

We will now calculate the prime factors of 21252 and 21264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21252 and 21264.

How to find the GCF of 21252 and 21264?

We will first find the prime factorization of 21252 and 21264. After we will calculate the factors of 21252 and 21264 and find the biggest common factor number .

Step-1: Prime Factorization of 21252

Prime factors of 21252 are 2, 3, 7, 11, 23. Prime factorization of 21252 in exponential form is:

21252 = 2² × 3¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 21264

Prime factors of 21264 are 2, 3, 443. Prime factorization of 21264 in exponential form is:

21264 = 2⁴ × 3¹ × 443¹

Step-3: Factors of 21252

List of positive integer factors of 21252 that divides 21252 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 23, 28, 33, 42, 44, 46, 66, 69, 77, 84, 92, 132, 138, 154, 161, 231, 253, 276, 308, 322, 462, 483, 506, 644, 759, 924, 966, 1012, 1518, 1771, 1932, 3036, 3542, 5313, 7084, 10626

Step-4: Factors of 21264

List of positive integer factors of 21264 that divides 21252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 443, 886, 1329, 1772, 2658, 3544, 5316, 7088, 10632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21252 and 21264. The biggest common factor number is the GCF number.
So the greatest common factor 21252 and 21264 is 12.

Also check out the Least Common Multiple of 21252 and 21264