What is the Greatest Common Factor of 14480 and 14498?

Greatest common factor (GCF) of 14480 and 14498 is 2.

GCF(14480,14498) = 2

We will now calculate the prime factors of 14480 and 14498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14480 and 14498.

How to find the GCF of 14480 and 14498?

We will first find the prime factorization of 14480 and 14498. After we will calculate the factors of 14480 and 14498 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14498

Prime factors of 14498 are 2, 11, 659. Prime factorization of 14498 in exponential form is:

14498 = 2¹ × 11¹ × 659¹

Step-3: Factors of 14480

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

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

Step-4: Factors of 14498

List of positive integer factors of 14498 that divides 14480 without a remainder.

1, 2, 11, 22, 659, 1318, 7249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14480 and 14498. The biggest common factor number is the GCF number.
So the greatest common factor 14480 and 14498 is 2.

Also check out the Least Common Multiple of 14480 and 14498