What is the Greatest Common Factor of 14874 and 14883?

Greatest common factor (GCF) of 14874 and 14883 is 3.

GCF(14874,14883) = 3

We will now calculate the prime factors of 14874 and 14883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14874 and 14883.

How to find the GCF of 14874 and 14883?

We will first find the prime factorization of 14874 and 14883. After we will calculate the factors of 14874 and 14883 and find the biggest common factor number .

Step-1: Prime Factorization of 14874

Prime factors of 14874 are 2, 3, 37, 67. Prime factorization of 14874 in exponential form is:

14874 = 2¹ × 3¹ × 37¹ × 67¹

Step-2: Prime Factorization of 14883

Prime factors of 14883 are 3, 11, 41. Prime factorization of 14883 in exponential form is:

14883 = 3¹ × 11² × 41¹

Step-3: Factors of 14874

List of positive integer factors of 14874 that divides 14874 without a remainder.

1, 2, 3, 6, 37, 67, 74, 111, 134, 201, 222, 402, 2479, 4958, 7437

Step-4: Factors of 14883

List of positive integer factors of 14883 that divides 14874 without a remainder.

1, 3, 11, 33, 41, 121, 123, 363, 451, 1353, 4961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14874 and 14883. The biggest common factor number is the GCF number.
So the greatest common factor 14874 and 14883 is 3.

Also check out the Least Common Multiple of 14874 and 14883