What is the Greatest Common Factor of 14480 and 14495?

Greatest common factor (GCF) of 14480 and 14495 is 5.

GCF(14480,14495) = 5

We will now calculate the prime factors of 14480 and 14495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14480 and 14495.

How to find the GCF of 14480 and 14495?

We will first find the prime factorization of 14480 and 14495. After we will calculate the factors of 14480 and 14495 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 14495

Prime factors of 14495 are 5, 13, 223. Prime factorization of 14495 in exponential form is:

14495 = 5¹ × 13¹ × 223¹

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 14495

List of positive integer factors of 14495 that divides 14480 without a remainder.

1, 5, 13, 65, 223, 1115, 2899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14480 and 14495. The biggest common factor number is the GCF number.
So the greatest common factor 14480 and 14495 is 5.

Also check out the Least Common Multiple of 14480 and 14495