What is the Greatest Common Factor of 14460 and 14468?

Greatest common factor (GCF) of 14460 and 14468 is 4.

GCF(14460,14468) = 4

We will now calculate the prime factors of 14460 and 14468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14460 and 14468.

How to find the GCF of 14460 and 14468?

We will first find the prime factorization of 14460 and 14468. After we will calculate the factors of 14460 and 14468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14468

Prime factors of 14468 are 2, 3617. Prime factorization of 14468 in exponential form is:

14468 = 2² × 3617¹

Step-3: Factors of 14460

List of positive integer factors of 14460 that divides 14460 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

Step-4: Factors of 14468

List of positive integer factors of 14468 that divides 14460 without a remainder.

1, 2, 4, 3617, 7234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14460 and 14468. The biggest common factor number is the GCF number.
So the greatest common factor 14460 and 14468 is 4.

Also check out the Least Common Multiple of 14460 and 14468