What is the Greatest Common Factor of 14144 and 14157?

Greatest common factor (GCF) of 14144 and 14157 is 13.

GCF(14144,14157) = 13

We will now calculate the prime factors of 14144 and 14157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14144 and 14157.

How to find the GCF of 14144 and 14157?

We will first find the prime factorization of 14144 and 14157. After we will calculate the factors of 14144 and 14157 and find the biggest common factor number .

Step-1: Prime Factorization of 14144

Prime factors of 14144 are 2, 13, 17. Prime factorization of 14144 in exponential form is:

14144 = 2⁶ × 13¹ × 17¹

Step-2: Prime Factorization of 14157

Prime factors of 14157 are 3, 11, 13. Prime factorization of 14157 in exponential form is:

14157 = 3² × 11² × 13¹

Step-3: Factors of 14144

List of positive integer factors of 14144 that divides 14144 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 64, 68, 104, 136, 208, 221, 272, 416, 442, 544, 832, 884, 1088, 1768, 3536, 7072

Step-4: Factors of 14157

List of positive integer factors of 14157 that divides 14144 without a remainder.

1, 3, 9, 11, 13, 33, 39, 99, 117, 121, 143, 363, 429, 1089, 1287, 1573, 4719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14144 and 14157. The biggest common factor number is the GCF number.
So the greatest common factor 14144 and 14157 is 13.

Also check out the Least Common Multiple of 14144 and 14157