What is the Greatest Common Factor of 14967 and 14973?

Greatest common factor (GCF) of 14967 and 14973 is 3.

GCF(14967,14973) = 3

We will now calculate the prime factors of 14967 and 14973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14967 and 14973.

How to find the GCF of 14967 and 14973?

We will first find the prime factorization of 14967 and 14973. After we will calculate the factors of 14967 and 14973 and find the biggest common factor number .

Step-1: Prime Factorization of 14967

Prime factors of 14967 are 3, 1663. Prime factorization of 14967 in exponential form is:

14967 = 3² × 1663¹

Step-2: Prime Factorization of 14973

Prime factors of 14973 are 3, 7, 23, 31. Prime factorization of 14973 in exponential form is:

14973 = 3¹ × 7¹ × 23¹ × 31¹

Step-3: Factors of 14967

List of positive integer factors of 14967 that divides 14967 without a remainder.

1, 3, 9, 1663, 4989

Step-4: Factors of 14973

List of positive integer factors of 14973 that divides 14967 without a remainder.

1, 3, 7, 21, 23, 31, 69, 93, 161, 217, 483, 651, 713, 2139, 4991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14967 and 14973. The biggest common factor number is the GCF number.
So the greatest common factor 14967 and 14973 is 3.

Also check out the Least Common Multiple of 14967 and 14973