What is the Greatest Common Factor of 22368 and 22374?

Greatest common factor (GCF) of 22368 and 22374 is 6.

GCF(22368,22374) = 6

We will now calculate the prime factors of 22368 and 22374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22368 and 22374.

How to find the GCF of 22368 and 22374?

We will first find the prime factorization of 22368 and 22374. After we will calculate the factors of 22368 and 22374 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22374

Prime factors of 22374 are 2, 3, 11, 113. Prime factorization of 22374 in exponential form is:

22374 = 2¹ × 3² × 11¹ × 113¹

Step-3: Factors of 22368

List of positive integer factors of 22368 that divides 22368 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

Step-4: Factors of 22374

List of positive integer factors of 22374 that divides 22368 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 113, 198, 226, 339, 678, 1017, 1243, 2034, 2486, 3729, 7458, 11187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22368 and 22374. The biggest common factor number is the GCF number.
So the greatest common factor 22368 and 22374 is 6.

Also check out the Least Common Multiple of 22368 and 22374