What is the Greatest Common Factor of 14858 and 14875?

Greatest common factor (GCF) of 14858 and 14875 is 17.

GCF(14858,14875) = 17

We will now calculate the prime factors of 14858 and 14875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14858 and 14875.

How to find the GCF of 14858 and 14875?

We will first find the prime factorization of 14858 and 14875. After we will calculate the factors of 14858 and 14875 and find the biggest common factor number .

Step-1: Prime Factorization of 14858

Prime factors of 14858 are 2, 17, 19, 23. Prime factorization of 14858 in exponential form is:

14858 = 2¹ × 17¹ × 19¹ × 23¹

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 14858

List of positive integer factors of 14858 that divides 14858 without a remainder.

1, 2, 17, 19, 23, 34, 38, 46, 323, 391, 437, 646, 782, 874, 7429

Step-4: Factors of 14875

List of positive integer factors of 14875 that divides 14858 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 14858 and 14875. The biggest common factor number is the GCF number.
So the greatest common factor 14858 and 14875 is 17.

Also check out the Least Common Multiple of 14858 and 14875