What is the Greatest Common Factor of 14640 and 14652?

Greatest common factor (GCF) of 14640 and 14652 is 12.

GCF(14640,14652) = 12

We will now calculate the prime factors of 14640 and 14652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14640 and 14652.

How to find the GCF of 14640 and 14652?

We will first find the prime factorization of 14640 and 14652. After we will calculate the factors of 14640 and 14652 and find the biggest common factor number .

Step-1: Prime Factorization of 14640

Prime factors of 14640 are 2, 3, 5, 61. Prime factorization of 14640 in exponential form is:

14640 = 2⁴ × 3¹ × 5¹ × 61¹

Step-2: 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-3: Factors of 14640

List of positive integer factors of 14640 that divides 14640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 61, 80, 120, 122, 183, 240, 244, 305, 366, 488, 610, 732, 915, 976, 1220, 1464, 1830, 2440, 2928, 3660, 4880, 7320

Step-4: Factors of 14652

List of positive integer factors of 14652 that divides 14640 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14640 and 14652. The biggest common factor number is the GCF number.
So the greatest common factor 14640 and 14652 is 12.

Also check out the Least Common Multiple of 14640 and 14652