What is the Greatest Common Factor of 14262 and 14268?

Greatest common factor (GCF) of 14262 and 14268 is 6.

GCF(14262,14268) = 6

We will now calculate the prime factors of 14262 and 14268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14262 and 14268.

How to find the GCF of 14262 and 14268?

We will first find the prime factorization of 14262 and 14268. After we will calculate the factors of 14262 and 14268 and find the biggest common factor number .

Step-1: Prime Factorization of 14262

Prime factors of 14262 are 2, 3, 2377. Prime factorization of 14262 in exponential form is:

14262 = 2¹ × 3¹ × 2377¹

Step-2: Prime Factorization of 14268

Prime factors of 14268 are 2, 3, 29, 41. Prime factorization of 14268 in exponential form is:

14268 = 2² × 3¹ × 29¹ × 41¹

Step-3: Factors of 14262

List of positive integer factors of 14262 that divides 14262 without a remainder.

1, 2, 3, 6, 2377, 4754, 7131

Step-4: Factors of 14268

List of positive integer factors of 14268 that divides 14262 without a remainder.

1, 2, 3, 4, 6, 12, 29, 41, 58, 82, 87, 116, 123, 164, 174, 246, 348, 492, 1189, 2378, 3567, 4756, 7134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14262 and 14268. The biggest common factor number is the GCF number.
So the greatest common factor 14262 and 14268 is 6.

Also check out the Least Common Multiple of 14262 and 14268