What is the Greatest Common Factor of 14470 and 14475?

Greatest common factor (GCF) of 14470 and 14475 is 5.

GCF(14470,14475) = 5

We will now calculate the prime factors of 14470 and 14475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14470 and 14475.

How to find the GCF of 14470 and 14475?

We will first find the prime factorization of 14470 and 14475. After we will calculate the factors of 14470 and 14475 and find the biggest common factor number .

Step-1: Prime Factorization of 14470

Prime factors of 14470 are 2, 5, 1447. Prime factorization of 14470 in exponential form is:

14470 = 2¹ × 5¹ × 1447¹

Step-2: Prime Factorization of 14475

Prime factors of 14475 are 3, 5, 193. Prime factorization of 14475 in exponential form is:

14475 = 3¹ × 5² × 193¹

Step-3: Factors of 14470

List of positive integer factors of 14470 that divides 14470 without a remainder.

1, 2, 5, 10, 1447, 2894, 7235

Step-4: Factors of 14475

List of positive integer factors of 14475 that divides 14470 without a remainder.

1, 3, 5, 15, 25, 75, 193, 579, 965, 2895, 4825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14470 and 14475. The biggest common factor number is the GCF number.
So the greatest common factor 14470 and 14475 is 5.

Also check out the Least Common Multiple of 14470 and 14475