What is the Greatest Common Factor of 21336 and 21345?

Greatest common factor (GCF) of 21336 and 21345 is 3.

GCF(21336,21345) = 3

We will now calculate the prime factors of 21336 and 21345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21336 and 21345.

How to find the GCF of 21336 and 21345?

We will first find the prime factorization of 21336 and 21345. After we will calculate the factors of 21336 and 21345 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 21345

Prime factors of 21345 are 3, 5, 1423. Prime factorization of 21345 in exponential form is:

21345 = 3¹ × 5¹ × 1423¹

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 21345

List of positive integer factors of 21345 that divides 21336 without a remainder.

1, 3, 5, 15, 1423, 4269, 7115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21336 and 21345. The biggest common factor number is the GCF number.
So the greatest common factor 21336 and 21345 is 3.

Also check out the Least Common Multiple of 21336 and 21345