What is the Greatest Common Factor of 14861 and 14872?

Greatest common factor (GCF) of 14861 and 14872 is 11.

GCF(14861,14872) = 11

We will now calculate the prime factors of 14861 and 14872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14861 and 14872.

How to find the GCF of 14861 and 14872?

We will first find the prime factorization of 14861 and 14872. After we will calculate the factors of 14861 and 14872 and find the biggest common factor number .

Step-1: Prime Factorization of 14861

Prime factors of 14861 are 7, 11, 193. Prime factorization of 14861 in exponential form is:

14861 = 7¹ × 11¹ × 193¹

Step-2: Prime Factorization of 14872

Prime factors of 14872 are 2, 11, 13. Prime factorization of 14872 in exponential form is:

14872 = 2³ × 11¹ × 13²

Step-3: Factors of 14861

List of positive integer factors of 14861 that divides 14861 without a remainder.

1, 7, 11, 77, 193, 1351, 2123

Step-4: Factors of 14872

List of positive integer factors of 14872 that divides 14861 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 169, 286, 338, 572, 676, 1144, 1352, 1859, 3718, 7436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14861 and 14872. The biggest common factor number is the GCF number.
So the greatest common factor 14861 and 14872 is 11.

Also check out the Least Common Multiple of 14861 and 14872