What is the Greatest Common Factor of 14872 and 14884?

Greatest common factor (GCF) of 14872 and 14884 is 4.

GCF(14872,14884) = 4

We will now calculate the prime factors of 14872 and 14884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14872 and 14884.

How to find the GCF of 14872 and 14884?

We will first find the prime factorization of 14872 and 14884. After we will calculate the factors of 14872 and 14884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14884

Prime factors of 14884 are 2, 61. Prime factorization of 14884 in exponential form is:

14884 = 2² × 61²

Step-3: Factors of 14872

List of positive integer factors of 14872 that divides 14872 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

Step-4: Factors of 14884

List of positive integer factors of 14884 that divides 14872 without a remainder.

1, 2, 4, 61, 122, 244, 3721, 7442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14872 and 14884. The biggest common factor number is the GCF number.
So the greatest common factor 14872 and 14884 is 4.

Also check out the Least Common Multiple of 14872 and 14884