What is the Greatest Common Factor of 14445 and 14460?

Greatest common factor (GCF) of 14445 and 14460 is 15.

GCF(14445,14460) = 15

We will now calculate the prime factors of 14445 and 14460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14445 and 14460.

How to find the GCF of 14445 and 14460?

We will first find the prime factorization of 14445 and 14460. After we will calculate the factors of 14445 and 14460 and find the biggest common factor number .

Step-1: Prime Factorization of 14445

Prime factors of 14445 are 3, 5, 107. Prime factorization of 14445 in exponential form is:

14445 = 3³ × 5¹ × 107¹

Step-2: Prime Factorization of 14460

Prime factors of 14460 are 2, 3, 5, 241. Prime factorization of 14460 in exponential form is:

14460 = 2² × 3¹ × 5¹ × 241¹

Step-3: Factors of 14445

List of positive integer factors of 14445 that divides 14445 without a remainder.

1, 3, 5, 9, 15, 27, 45, 107, 135, 321, 535, 963, 1605, 2889, 4815

Step-4: Factors of 14460

List of positive integer factors of 14460 that divides 14445 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 241, 482, 723, 964, 1205, 1446, 2410, 2892, 3615, 4820, 7230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14445 and 14460. The biggest common factor number is the GCF number.
So the greatest common factor 14445 and 14460 is 15.

Also check out the Least Common Multiple of 14445 and 14460