What is the Greatest Common Factor of 22344 and 22356?

Greatest common factor (GCF) of 22344 and 22356 is 12.

GCF(22344,22356) = 12

We will now calculate the prime factors of 22344 and 22356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22344 and 22356.

How to find the GCF of 22344 and 22356?

We will first find the prime factorization of 22344 and 22356. After we will calculate the factors of 22344 and 22356 and find the biggest common factor number .

Step-1: Prime Factorization of 22344

Prime factors of 22344 are 2, 3, 7, 19. Prime factorization of 22344 in exponential form is:

22344 = 2³ × 3¹ × 7² × 19¹

Step-2: Prime Factorization of 22356

Prime factors of 22356 are 2, 3, 23. Prime factorization of 22356 in exponential form is:

22356 = 2² × 3⁵ × 23¹

Step-3: Factors of 22344

List of positive integer factors of 22344 that divides 22344 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 49, 56, 57, 76, 84, 98, 114, 133, 147, 152, 168, 196, 228, 266, 294, 392, 399, 456, 532, 588, 798, 931, 1064, 1176, 1596, 1862, 2793, 3192, 3724, 5586, 7448, 11172

Step-4: Factors of 22356

List of positive integer factors of 22356 that divides 22344 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 243, 276, 324, 414, 486, 621, 828, 972, 1242, 1863, 2484, 3726, 5589, 7452, 11178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22344 and 22356. The biggest common factor number is the GCF number.
So the greatest common factor 22344 and 22356 is 12.

Also check out the Least Common Multiple of 22344 and 22356