What is the Greatest Common Factor of 14352 and 14367?

Greatest common factor (GCF) of 14352 and 14367 is 3.

GCF(14352,14367) = 3

We will now calculate the prime factors of 14352 and 14367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14352 and 14367.

How to find the GCF of 14352 and 14367?

We will first find the prime factorization of 14352 and 14367. After we will calculate the factors of 14352 and 14367 and find the biggest common factor number .

Step-1: Prime Factorization of 14352

Prime factors of 14352 are 2, 3, 13, 23. Prime factorization of 14352 in exponential form is:

14352 = 2⁴ × 3¹ × 13¹ × 23¹

Step-2: Prime Factorization of 14367

Prime factors of 14367 are 3, 4789. Prime factorization of 14367 in exponential form is:

14367 = 3¹ × 4789¹

Step-3: Factors of 14352

List of positive integer factors of 14352 that divides 14352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 23, 24, 26, 39, 46, 48, 52, 69, 78, 92, 104, 138, 156, 184, 208, 276, 299, 312, 368, 552, 598, 624, 897, 1104, 1196, 1794, 2392, 3588, 4784, 7176

Step-4: Factors of 14367

List of positive integer factors of 14367 that divides 14352 without a remainder.

1, 3, 4789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14352 and 14367. The biggest common factor number is the GCF number.
So the greatest common factor 14352 and 14367 is 3.

Also check out the Least Common Multiple of 14352 and 14367