What is the Greatest Common Factor of 14664 and 14679?

Greatest common factor (GCF) of 14664 and 14679 is 3.

GCF(14664,14679) = 3

We will now calculate the prime factors of 14664 and 14679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14664 and 14679.

How to find the GCF of 14664 and 14679?

We will first find the prime factorization of 14664 and 14679. After we will calculate the factors of 14664 and 14679 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 14679

Prime factors of 14679 are 3, 7, 233. Prime factorization of 14679 in exponential form is:

14679 = 3² × 7¹ × 233¹

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 14679

List of positive integer factors of 14679 that divides 14664 without a remainder.

1, 3, 7, 9, 21, 63, 233, 699, 1631, 2097, 4893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14664 and 14679. The biggest common factor number is the GCF number.
So the greatest common factor 14664 and 14679 is 3.

Also check out the Least Common Multiple of 14664 and 14679