What is the Greatest Common Factor of 14374 and 14388?

Greatest common factor (GCF) of 14374 and 14388 is 2.

GCF(14374,14388) = 2

We will now calculate the prime factors of 14374 and 14388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14374 and 14388.

How to find the GCF of 14374 and 14388?

We will first find the prime factorization of 14374 and 14388. After we will calculate the factors of 14374 and 14388 and find the biggest common factor number .

Step-1: Prime Factorization of 14374

Prime factors of 14374 are 2, 7187. Prime factorization of 14374 in exponential form is:

14374 = 2¹ × 7187¹

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 14374

List of positive integer factors of 14374 that divides 14374 without a remainder.

1, 2, 7187

Step-4: Factors of 14388

List of positive integer factors of 14388 that divides 14374 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 14374 and 14388. The biggest common factor number is the GCF number.
So the greatest common factor 14374 and 14388 is 2.

Also check out the Least Common Multiple of 14374 and 14388