What is the Greatest Common Factor of 14122 and 14136?

Greatest common factor (GCF) of 14122 and 14136 is 2.

GCF(14122,14136) = 2

We will now calculate the prime factors of 14122 and 14136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14122 and 14136.

How to find the GCF of 14122 and 14136?

We will first find the prime factorization of 14122 and 14136. After we will calculate the factors of 14122 and 14136 and find the biggest common factor number .

Step-1: Prime Factorization of 14122

Prime factors of 14122 are 2, 23, 307. Prime factorization of 14122 in exponential form is:

14122 = 2¹ × 23¹ × 307¹

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 14122

List of positive integer factors of 14122 that divides 14122 without a remainder.

1, 2, 23, 46, 307, 614, 7061

Step-4: Factors of 14136

List of positive integer factors of 14136 that divides 14122 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 14122 and 14136. The biggest common factor number is the GCF number.
So the greatest common factor 14122 and 14136 is 2.

Also check out the Least Common Multiple of 14122 and 14136