What is the Greatest Common Factor of 14664 and 14673?

Greatest common factor (GCF) of 14664 and 14673 is 3.

GCF(14664,14673) = 3

We will now calculate the prime factors of 14664 and 14673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14664 and 14673.

How to find the GCF of 14664 and 14673?

We will first find the prime factorization of 14664 and 14673. After we will calculate the factors of 14664 and 14673 and find the biggest common factor number .

Step-1: Prime Factorization of 14664

Prime factors of 14664 are 2, 3, 13, 47. Prime factorization of 14664 in exponential form is:

14664 = 2³ × 3¹ × 13¹ × 47¹

Step-2: Prime Factorization of 14673

Prime factors of 14673 are 3, 67, 73. Prime factorization of 14673 in exponential form is:

14673 = 3¹ × 67¹ × 73¹

Step-3: Factors of 14664

List of positive integer factors of 14664 that divides 14664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 47, 52, 78, 94, 104, 141, 156, 188, 282, 312, 376, 564, 611, 1128, 1222, 1833, 2444, 3666, 4888, 7332

Step-4: Factors of 14673

List of positive integer factors of 14673 that divides 14664 without a remainder.

1, 3, 67, 73, 201, 219, 4891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14664 and 14673. The biggest common factor number is the GCF number.
So the greatest common factor 14664 and 14673 is 3.

Also check out the Least Common Multiple of 14664 and 14673