What is the Greatest Common Factor of 14382 and 14388?

Greatest common factor (GCF) of 14382 and 14388 is 6.

GCF(14382,14388) = 6

We will now calculate the prime factors of 14382 and 14388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14382 and 14388.

How to find the GCF of 14382 and 14388?

We will first find the prime factorization of 14382 and 14388. After we will calculate the factors of 14382 and 14388 and find the biggest common factor number .

Step-1: Prime Factorization of 14382

Prime factors of 14382 are 2, 3, 17, 47. Prime factorization of 14382 in exponential form is:

14382 = 2¹ × 3² × 17¹ × 47¹

Step-2: Prime Factorization of 14388

Prime factors of 14388 are 2, 3, 11, 109. Prime factorization of 14388 in exponential form is:

14388 = 2² × 3¹ × 11¹ × 109¹

Step-3: Factors of 14382

List of positive integer factors of 14382 that divides 14382 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 47, 51, 94, 102, 141, 153, 282, 306, 423, 799, 846, 1598, 2397, 4794, 7191

Step-4: Factors of 14388

List of positive integer factors of 14388 that divides 14382 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 109, 132, 218, 327, 436, 654, 1199, 1308, 2398, 3597, 4796, 7194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14382 and 14388. The biggest common factor number is the GCF number.
So the greatest common factor 14382 and 14388 is 6.

Also check out the Least Common Multiple of 14382 and 14388