What is the Greatest Common Factor of 14652 and 14663?

Greatest common factor (GCF) of 14652 and 14663 is 11.

GCF(14652,14663) = 11

We will now calculate the prime factors of 14652 and 14663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14652 and 14663.

How to find the GCF of 14652 and 14663?

We will first find the prime factorization of 14652 and 14663. After we will calculate the factors of 14652 and 14663 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 14663

Prime factors of 14663 are 11, 31, 43. Prime factorization of 14663 in exponential form is:

14663 = 11¹ × 31¹ × 43¹

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 14663

List of positive integer factors of 14663 that divides 14652 without a remainder.

1, 11, 31, 43, 341, 473, 1333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14652 and 14663. The biggest common factor number is the GCF number.
So the greatest common factor 14652 and 14663 is 11.

Also check out the Least Common Multiple of 14652 and 14663