What is the Greatest Common Factor of 14144 and 14155?

Greatest common factor (GCF) of 14144 and 14155 is 1.

GCF(14144,14155) = 1

We will now calculate the prime factors of 14144 and 14155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14144 and 14155.

How to find the GCF of 14144 and 14155?

We will first find the prime factorization of 14144 and 14155. After we will calculate the factors of 14144 and 14155 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 14155

Prime factors of 14155 are 5, 19, 149. Prime factorization of 14155 in exponential form is:

14155 = 5¹ × 19¹ × 149¹

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 14155

List of positive integer factors of 14155 that divides 14144 without a remainder.

1, 5, 19, 95, 149, 745, 2831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14144 and 14155. The biggest common factor number is the GCF number.
So the greatest common factor 14144 and 14155 is 1.

Also check out the Least Common Multiple of 14144 and 14155