What is the Greatest Common Factor of 14664 and 14683?

Greatest common factor (GCF) of 14664 and 14683 is 1.

GCF(14664,14683) = 1

We will now calculate the prime factors of 14664 and 14683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14664 and 14683.

How to find the GCF of 14664 and 14683?

We will first find the prime factorization of 14664 and 14683. After we will calculate the factors of 14664 and 14683 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 14683

Prime factors of 14683 are 14683. Prime factorization of 14683 in exponential form is:

14683 = 14683¹

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 14683

List of positive integer factors of 14683 that divides 14664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14664 and 14683. The biggest common factor number is the GCF number.
So the greatest common factor 14664 and 14683 is 1.

Also check out the Least Common Multiple of 14664 and 14683