What is the Greatest Common Factor of 14833 and 14846?

Greatest common factor (GCF) of 14833 and 14846 is 13.

GCF(14833,14846) = 13

We will now calculate the prime factors of 14833 and 14846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14833 and 14846.

How to find the GCF of 14833 and 14846?

We will first find the prime factorization of 14833 and 14846. After we will calculate the factors of 14833 and 14846 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14846

Prime factors of 14846 are 2, 13, 571. Prime factorization of 14846 in exponential form is:

14846 = 2¹ × 13¹ × 571¹

Step-3: Factors of 14833

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

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

Step-4: Factors of 14846

List of positive integer factors of 14846 that divides 14833 without a remainder.

1, 2, 13, 26, 571, 1142, 7423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14833 and 14846. The biggest common factor number is the GCF number.
So the greatest common factor 14833 and 14846 is 13.

Also check out the Least Common Multiple of 14833 and 14846