What is the Greatest Common Factor of 14664 and 14676?

Greatest common factor (GCF) of 14664 and 14676 is 12.

GCF(14664,14676) = 12

We will now calculate the prime factors of 14664 and 14676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14664 and 14676.

How to find the GCF of 14664 and 14676?

We will first find the prime factorization of 14664 and 14676. After we will calculate the factors of 14664 and 14676 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 14676

Prime factors of 14676 are 2, 3, 1223. Prime factorization of 14676 in exponential form is:

14676 = 2² × 3¹ × 1223¹

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 14676

List of positive integer factors of 14676 that divides 14664 without a remainder.

1, 2, 3, 4, 6, 12, 1223, 2446, 3669, 4892, 7338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14664 and 14676. The biggest common factor number is the GCF number.
So the greatest common factor 14664 and 14676 is 12.

Also check out the Least Common Multiple of 14664 and 14676