What is the Greatest Common Factor of 14124 and 14133?

Greatest common factor (GCF) of 14124 and 14133 is 3.

GCF(14124,14133) = 3

We will now calculate the prime factors of 14124 and 14133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14124 and 14133.

How to find the GCF of 14124 and 14133?

We will first find the prime factorization of 14124 and 14133. After we will calculate the factors of 14124 and 14133 and find the biggest common factor number .

Step-1: Prime Factorization of 14124

Prime factors of 14124 are 2, 3, 11, 107. Prime factorization of 14124 in exponential form is:

14124 = 2² × 3¹ × 11¹ × 107¹

Step-2: Prime Factorization of 14133

Prime factors of 14133 are 3, 7, 673. Prime factorization of 14133 in exponential form is:

14133 = 3¹ × 7¹ × 673¹

Step-3: Factors of 14124

List of positive integer factors of 14124 that divides 14124 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 107, 132, 214, 321, 428, 642, 1177, 1284, 2354, 3531, 4708, 7062

Step-4: Factors of 14133

List of positive integer factors of 14133 that divides 14124 without a remainder.

1, 3, 7, 21, 673, 2019, 4711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14124 and 14133. The biggest common factor number is the GCF number.
So the greatest common factor 14124 and 14133 is 3.

Also check out the Least Common Multiple of 14124 and 14133