What is the Greatest Common Factor of 21252 and 21267?

Greatest common factor (GCF) of 21252 and 21267 is 3.

GCF(21252,21267) = 3

We will now calculate the prime factors of 21252 and 21267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21252 and 21267.

How to find the GCF of 21252 and 21267?

We will first find the prime factorization of 21252 and 21267. After we will calculate the factors of 21252 and 21267 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 21267

Prime factors of 21267 are 3, 17, 139. Prime factorization of 21267 in exponential form is:

21267 = 3² × 17¹ × 139¹

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 21267

List of positive integer factors of 21267 that divides 21252 without a remainder.

1, 3, 9, 17, 51, 139, 153, 417, 1251, 2363, 7089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21252 and 21267. The biggest common factor number is the GCF number.
So the greatest common factor 21252 and 21267 is 3.

Also check out the Least Common Multiple of 21252 and 21267