What is the Greatest Common Factor of 14973 and 14982?

Greatest common factor (GCF) of 14973 and 14982 is 3.

GCF(14973,14982) = 3

We will now calculate the prime factors of 14973 and 14982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14973 and 14982.

How to find the GCF of 14973 and 14982?

We will first find the prime factorization of 14973 and 14982. After we will calculate the factors of 14973 and 14982 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14982

Prime factors of 14982 are 2, 3, 11, 227. Prime factorization of 14982 in exponential form is:

14982 = 2¹ × 3¹ × 11¹ × 227¹

Step-3: Factors of 14973

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

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

Step-4: Factors of 14982

List of positive integer factors of 14982 that divides 14973 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 227, 454, 681, 1362, 2497, 4994, 7491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14973 and 14982. The biggest common factor number is the GCF number.
So the greatest common factor 14973 and 14982 is 3.

Also check out the Least Common Multiple of 14973 and 14982