What is the Greatest Common Factor of 14123 and 14136?

Greatest common factor (GCF) of 14123 and 14136 is 1.

GCF(14123,14136) = 1

We will now calculate the prime factors of 14123 and 14136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14123 and 14136.

How to find the GCF of 14123 and 14136?

We will first find the prime factorization of 14123 and 14136. After we will calculate the factors of 14123 and 14136 and find the biggest common factor number .

Step-1: Prime Factorization of 14123

Prime factors of 14123 are 29, 487. Prime factorization of 14123 in exponential form is:

14123 = 29¹ × 487¹

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 14123

List of positive integer factors of 14123 that divides 14123 without a remainder.

1, 29, 487

Step-4: Factors of 14136

List of positive integer factors of 14136 that divides 14123 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 14123 and 14136. The biggest common factor number is the GCF number.
So the greatest common factor 14123 and 14136 is 1.

Also check out the Least Common Multiple of 14123 and 14136