What is the Greatest Common Factor of 14229 and 14248?

Greatest common factor (GCF) of 14229 and 14248 is 1.

GCF(14229,14248) = 1

We will now calculate the prime factors of 14229 and 14248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14229 and 14248.

How to find the GCF of 14229 and 14248?

We will first find the prime factorization of 14229 and 14248. After we will calculate the factors of 14229 and 14248 and find the biggest common factor number .

Step-1: Prime Factorization of 14229

Prime factors of 14229 are 3, 17, 31. Prime factorization of 14229 in exponential form is:

14229 = 3³ × 17¹ × 31¹

Step-2: Prime Factorization of 14248

Prime factors of 14248 are 2, 13, 137. Prime factorization of 14248 in exponential form is:

14248 = 2³ × 13¹ × 137¹

Step-3: Factors of 14229

List of positive integer factors of 14229 that divides 14229 without a remainder.

1, 3, 9, 17, 27, 31, 51, 93, 153, 279, 459, 527, 837, 1581, 4743

Step-4: Factors of 14248

List of positive integer factors of 14248 that divides 14229 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 137, 274, 548, 1096, 1781, 3562, 7124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14229 and 14248. The biggest common factor number is the GCF number.
So the greatest common factor 14229 and 14248 is 1.

Also check out the Least Common Multiple of 14229 and 14248