What is the Greatest Common Factor of 14829 and 14847?

Greatest common factor (GCF) of 14829 and 14847 is 3.

GCF(14829,14847) = 3

We will now calculate the prime factors of 14829 and 14847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14829 and 14847.

How to find the GCF of 14829 and 14847?

We will first find the prime factorization of 14829 and 14847. After we will calculate the factors of 14829 and 14847 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 14847

Prime factors of 14847 are 3, 7, 101. Prime factorization of 14847 in exponential form is:

14847 = 3¹ × 7² × 101¹

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 14847

List of positive integer factors of 14847 that divides 14829 without a remainder.

1, 3, 7, 21, 49, 101, 147, 303, 707, 2121, 4949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14829 and 14847. The biggest common factor number is the GCF number.
So the greatest common factor 14829 and 14847 is 3.

Also check out the Least Common Multiple of 14829 and 14847