What is the Greatest Common Factor of 14117 and 14136?

Greatest common factor (GCF) of 14117 and 14136 is 19.

GCF(14117,14136) = 19

We will now calculate the prime factors of 14117 and 14136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14117 and 14136.

How to find the GCF of 14117 and 14136?

We will first find the prime factorization of 14117 and 14136. After we will calculate the factors of 14117 and 14136 and find the biggest common factor number .

Step-1: Prime Factorization of 14117

Prime factors of 14117 are 19, 743. Prime factorization of 14117 in exponential form is:

14117 = 19¹ × 743¹

Step-2: Prime Factorization of 14136

Prime factors of 14136 are 2, 3, 19, 31. Prime factorization of 14136 in exponential form is:

14136 = 2³ × 3¹ × 19¹ × 31¹

Step-3: Factors of 14117

List of positive integer factors of 14117 that divides 14117 without a remainder.

1, 19, 743

Step-4: Factors of 14136

List of positive integer factors of 14136 that divides 14117 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 31, 38, 57, 62, 76, 93, 114, 124, 152, 186, 228, 248, 372, 456, 589, 744, 1178, 1767, 2356, 3534, 4712, 7068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14117 and 14136. The biggest common factor number is the GCF number.
So the greatest common factor 14117 and 14136 is 19.

Also check out the Least Common Multiple of 14117 and 14136