What is the Greatest Common Factor of 14649 and 14664?

Greatest common factor (GCF) of 14649 and 14664 is 3.

GCF(14649,14664) = 3

We will now calculate the prime factors of 14649 and 14664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14649 and 14664.

How to find the GCF of 14649 and 14664?

We will first find the prime factorization of 14649 and 14664. After we will calculate the factors of 14649 and 14664 and find the biggest common factor number .

Step-1: Prime Factorization of 14649

Prime factors of 14649 are 3, 19, 257. Prime factorization of 14649 in exponential form is:

14649 = 3¹ × 19¹ × 257¹

Step-2: 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-3: Factors of 14649

List of positive integer factors of 14649 that divides 14649 without a remainder.

1, 3, 19, 57, 257, 771, 4883

Step-4: Factors of 14664

List of positive integer factors of 14664 that divides 14649 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14649 and 14664. The biggest common factor number is the GCF number.
So the greatest common factor 14649 and 14664 is 3.

Also check out the Least Common Multiple of 14649 and 14664