What is the Greatest Common Factor of 14829 and 14833?

Greatest common factor (GCF) of 14829 and 14833 is 1.

GCF(14829,14833) = 1

We will now calculate the prime factors of 14829 and 14833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14829 and 14833.

How to find the GCF of 14829 and 14833?

We will first find the prime factorization of 14829 and 14833. After we will calculate the factors of 14829 and 14833 and find the biggest common factor number .

Step-1: Prime Factorization of 14829

Prime factors of 14829 are 3, 4943. Prime factorization of 14829 in exponential form is:

14829 = 3¹ × 4943¹

Step-2: Prime Factorization of 14833

Prime factors of 14833 are 7, 13, 163. Prime factorization of 14833 in exponential form is:

14833 = 7¹ × 13¹ × 163¹

Step-3: Factors of 14829

List of positive integer factors of 14829 that divides 14829 without a remainder.

1, 3, 4943

Step-4: Factors of 14833

List of positive integer factors of 14833 that divides 14829 without a remainder.

1, 7, 13, 91, 163, 1141, 2119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14829 and 14833. The biggest common factor number is the GCF number.
So the greatest common factor 14829 and 14833 is 1.

Also check out the Least Common Multiple of 14829 and 14833