What is the Greatest Common Factor of 14484 and 14490?

Greatest common factor (GCF) of 14484 and 14490 is 6.

GCF(14484,14490) = 6

We will now calculate the prime factors of 14484 and 14490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14484 and 14490.

How to find the GCF of 14484 and 14490?

We will first find the prime factorization of 14484 and 14490. After we will calculate the factors of 14484 and 14490 and find the biggest common factor number .

Step-1: Prime Factorization of 14484

Prime factors of 14484 are 2, 3, 17, 71. Prime factorization of 14484 in exponential form is:

14484 = 2² × 3¹ × 17¹ × 71¹

Step-2: Prime Factorization of 14490

Prime factors of 14490 are 2, 3, 5, 7, 23. Prime factorization of 14490 in exponential form is:

14490 = 2¹ × 3² × 5¹ × 7¹ × 23¹

Step-3: Factors of 14484

List of positive integer factors of 14484 that divides 14484 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 71, 102, 142, 204, 213, 284, 426, 852, 1207, 2414, 3621, 4828, 7242

Step-4: Factors of 14490

List of positive integer factors of 14490 that divides 14484 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 23, 30, 35, 42, 45, 46, 63, 69, 70, 90, 105, 115, 126, 138, 161, 207, 210, 230, 315, 322, 345, 414, 483, 630, 690, 805, 966, 1035, 1449, 1610, 2070, 2415, 2898, 4830, 7245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14484 and 14490. The biggest common factor number is the GCF number.
So the greatest common factor 14484 and 14490 is 6.

Also check out the Least Common Multiple of 14484 and 14490