What is the Greatest Common Factor of 14652 and 14666?

Greatest common factor (GCF) of 14652 and 14666 is 2.

GCF(14652,14666) = 2

We will now calculate the prime factors of 14652 and 14666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14652 and 14666.

How to find the GCF of 14652 and 14666?

We will first find the prime factorization of 14652 and 14666. After we will calculate the factors of 14652 and 14666 and find the biggest common factor number .

Step-1: Prime Factorization of 14652

Prime factors of 14652 are 2, 3, 11, 37. Prime factorization of 14652 in exponential form is:

14652 = 2² × 3² × 11¹ × 37¹

Step-2: Prime Factorization of 14666

Prime factors of 14666 are 2, 7333. Prime factorization of 14666 in exponential form is:

14666 = 2¹ × 7333¹

Step-3: Factors of 14652

List of positive integer factors of 14652 that divides 14652 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 37, 44, 66, 74, 99, 111, 132, 148, 198, 222, 333, 396, 407, 444, 666, 814, 1221, 1332, 1628, 2442, 3663, 4884, 7326

Step-4: Factors of 14666

List of positive integer factors of 14666 that divides 14652 without a remainder.

1, 2, 7333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14652 and 14666. The biggest common factor number is the GCF number.
So the greatest common factor 14652 and 14666 is 2.

Also check out the Least Common Multiple of 14652 and 14666