What is the Greatest Common Factor of 21336 and 21356?

Greatest common factor (GCF) of 21336 and 21356 is 4.

GCF(21336,21356) = 4

We will now calculate the prime factors of 21336 and 21356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21336 and 21356.

How to find the GCF of 21336 and 21356?

We will first find the prime factorization of 21336 and 21356. After we will calculate the factors of 21336 and 21356 and find the biggest common factor number .

Step-1: Prime Factorization of 21336

Prime factors of 21336 are 2, 3, 7, 127. Prime factorization of 21336 in exponential form is:

21336 = 2³ × 3¹ × 7¹ × 127¹

Step-2: Prime Factorization of 21356

Prime factors of 21356 are 2, 19, 281. Prime factorization of 21356 in exponential form is:

21356 = 2² × 19¹ × 281¹

Step-3: Factors of 21336

List of positive integer factors of 21336 that divides 21336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 127, 168, 254, 381, 508, 762, 889, 1016, 1524, 1778, 2667, 3048, 3556, 5334, 7112, 10668

Step-4: Factors of 21356

List of positive integer factors of 21356 that divides 21336 without a remainder.

1, 2, 4, 19, 38, 76, 281, 562, 1124, 5339, 10678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21336 and 21356. The biggest common factor number is the GCF number.
So the greatest common factor 21336 and 21356 is 4.

Also check out the Least Common Multiple of 21336 and 21356