What is the Greatest Common Factor of 14456 and 14460?

Greatest common factor (GCF) of 14456 and 14460 is 4.

GCF(14456,14460) = 4

We will now calculate the prime factors of 14456 and 14460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14456 and 14460.

How to find the GCF of 14456 and 14460?

We will first find the prime factorization of 14456 and 14460. After we will calculate the factors of 14456 and 14460 and find the biggest common factor number .

Step-1: Prime Factorization of 14456

Prime factors of 14456 are 2, 13, 139. Prime factorization of 14456 in exponential form is:

14456 = 2³ × 13¹ × 139¹

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 14456

List of positive integer factors of 14456 that divides 14456 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 139, 278, 556, 1112, 1807, 3614, 7228

Step-4: Factors of 14460

List of positive integer factors of 14460 that divides 14456 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 14456 and 14460. The biggest common factor number is the GCF number.
So the greatest common factor 14456 and 14460 is 4.

Also check out the Least Common Multiple of 14456 and 14460