What is the Greatest Common Factor of 22344 and 22353?

Greatest common factor (GCF) of 22344 and 22353 is 3.

GCF(22344,22353) = 3

We will now calculate the prime factors of 22344 and 22353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22344 and 22353.

How to find the GCF of 22344 and 22353?

We will first find the prime factorization of 22344 and 22353. After we will calculate the factors of 22344 and 22353 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 22353

Prime factors of 22353 are 3, 7451. Prime factorization of 22353 in exponential form is:

22353 = 3¹ × 7451¹

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 22353

List of positive integer factors of 22353 that divides 22344 without a remainder.

1, 3, 7451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22344 and 22353. The biggest common factor number is the GCF number.
So the greatest common factor 22344 and 22353 is 3.

Also check out the Least Common Multiple of 22344 and 22353