What is the Greatest Common Factor of 14943 and 14958?

Greatest common factor (GCF) of 14943 and 14958 is 3.

GCF(14943,14958) = 3

We will now calculate the prime factors of 14943 and 14958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14943 and 14958.

How to find the GCF of 14943 and 14958?

We will first find the prime factorization of 14943 and 14958. After we will calculate the factors of 14943 and 14958 and find the biggest common factor number .

Step-1: Prime Factorization of 14943

Prime factors of 14943 are 3, 17, 293. Prime factorization of 14943 in exponential form is:

14943 = 3¹ × 17¹ × 293¹

Step-2: Prime Factorization of 14958

Prime factors of 14958 are 2, 3, 277. Prime factorization of 14958 in exponential form is:

14958 = 2¹ × 3³ × 277¹

Step-3: Factors of 14943

List of positive integer factors of 14943 that divides 14943 without a remainder.

1, 3, 17, 51, 293, 879, 4981

Step-4: Factors of 14958

List of positive integer factors of 14958 that divides 14943 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 277, 554, 831, 1662, 2493, 4986, 7479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14943 and 14958. The biggest common factor number is the GCF number.
So the greatest common factor 14943 and 14958 is 3.

Also check out the Least Common Multiple of 14943 and 14958