What is the Greatest Common Factor of 14870 and 14885?

Greatest common factor (GCF) of 14870 and 14885 is 5.

GCF(14870,14885) = 5

We will now calculate the prime factors of 14870 and 14885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14870 and 14885.

How to find the GCF of 14870 and 14885?

We will first find the prime factorization of 14870 and 14885. After we will calculate the factors of 14870 and 14885 and find the biggest common factor number .

Step-1: Prime Factorization of 14870

Prime factors of 14870 are 2, 5, 1487. Prime factorization of 14870 in exponential form is:

14870 = 2¹ × 5¹ × 1487¹

Step-2: Prime Factorization of 14885

Prime factors of 14885 are 5, 13, 229. Prime factorization of 14885 in exponential form is:

14885 = 5¹ × 13¹ × 229¹

Step-3: Factors of 14870

List of positive integer factors of 14870 that divides 14870 without a remainder.

1, 2, 5, 10, 1487, 2974, 7435

Step-4: Factors of 14885

List of positive integer factors of 14885 that divides 14870 without a remainder.

1, 5, 13, 65, 229, 1145, 2977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14870 and 14885. The biggest common factor number is the GCF number.
So the greatest common factor 14870 and 14885 is 5.

Also check out the Least Common Multiple of 14870 and 14885