What is the Greatest Common Factor of 14461 and 14480?

Greatest common factor (GCF) of 14461 and 14480 is 1.

GCF(14461,14480) = 1

We will now calculate the prime factors of 14461 and 14480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14461 and 14480.

How to find the GCF of 14461 and 14480?

We will first find the prime factorization of 14461 and 14480. After we will calculate the factors of 14461 and 14480 and find the biggest common factor number .

Step-1: Prime Factorization of 14461

Prime factors of 14461 are 14461. Prime factorization of 14461 in exponential form is:

14461 = 14461¹

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 14461

List of positive integer factors of 14461 that divides 14461 without a remainder.

Step-4: Factors of 14480

List of positive integer factors of 14480 that divides 14461 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 14461 and 14480. The biggest common factor number is the GCF number.
So the greatest common factor 14461 and 14480 is 1.

Also check out the Least Common Multiple of 14461 and 14480