What is the Greatest Common Factor of 14870 and 14875?

Greatest common factor (GCF) of 14870 and 14875 is 5.

GCF(14870,14875) = 5

We will now calculate the prime factors of 14870 and 14875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14870 and 14875.

How to find the GCF of 14870 and 14875?

We will first find the prime factorization of 14870 and 14875. After we will calculate the factors of 14870 and 14875 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 14875

Prime factors of 14875 are 5, 7, 17. Prime factorization of 14875 in exponential form is:

14875 = 5³ × 7¹ × 17¹

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 14875

List of positive integer factors of 14875 that divides 14870 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 125, 175, 425, 595, 875, 2125, 2975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14870 and 14875. The biggest common factor number is the GCF number.
So the greatest common factor 14870 and 14875 is 5.

Also check out the Least Common Multiple of 14870 and 14875