What is the Greatest Common Factor of 14460 and 14480?

Greatest common factor (GCF) of 14460 and 14480 is 20.

GCF(14460,14480) = 20

We will now calculate the prime factors of 14460 and 14480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14460 and 14480.

How to find the GCF of 14460 and 14480?

We will first find the prime factorization of 14460 and 14480. After we will calculate the factors of 14460 and 14480 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 14480

Prime factors of 14480 are 2, 5, 181. Prime factorization of 14480 in exponential form is:

14480 = 2⁴ × 5¹ × 181¹

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 14480

List of positive integer factors of 14480 that divides 14460 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 181, 362, 724, 905, 1448, 1810, 2896, 3620, 7240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14460 and 14480. The biggest common factor number is the GCF number.
So the greatest common factor 14460 and 14480 is 20.

Also check out the Least Common Multiple of 14460 and 14480