What is the Greatest Common Factor of 22353 and 22368?

Greatest common factor (GCF) of 22353 and 22368 is 3.

GCF(22353,22368) = 3

We will now calculate the prime factors of 22353 and 22368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22353 and 22368.

How to find the GCF of 22353 and 22368?

We will first find the prime factorization of 22353 and 22368. After we will calculate the factors of 22353 and 22368 and find the biggest common factor number .

Step-1: Prime Factorization of 22353

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

22353 = 3¹ × 7451¹

Step-2: Prime Factorization of 22368

Prime factors of 22368 are 2, 3, 233. Prime factorization of 22368 in exponential form is:

22368 = 2⁵ × 3¹ × 233¹

Step-3: Factors of 22353

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

1, 3, 7451

Step-4: Factors of 22368

List of positive integer factors of 22368 that divides 22353 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22353 and 22368. The biggest common factor number is the GCF number.
So the greatest common factor 22353 and 22368 is 3.

Also check out the Least Common Multiple of 22353 and 22368