What is the Greatest Common Factor of 14501 and 14518?

Greatest common factor (GCF) of 14501 and 14518 is 17.

GCF(14501,14518) = 17

We will now calculate the prime factors of 14501 and 14518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14501 and 14518.

How to find the GCF of 14501 and 14518?

We will first find the prime factorization of 14501 and 14518. After we will calculate the factors of 14501 and 14518 and find the biggest common factor number .

Step-1: Prime Factorization of 14501

Prime factors of 14501 are 17, 853. Prime factorization of 14501 in exponential form is:

14501 = 17¹ × 853¹

Step-2: Prime Factorization of 14518

Prime factors of 14518 are 2, 7, 17, 61. Prime factorization of 14518 in exponential form is:

14518 = 2¹ × 7¹ × 17¹ × 61¹

Step-3: Factors of 14501

List of positive integer factors of 14501 that divides 14501 without a remainder.

1, 17, 853

Step-4: Factors of 14518

List of positive integer factors of 14518 that divides 14501 without a remainder.

1, 2, 7, 14, 17, 34, 61, 119, 122, 238, 427, 854, 1037, 2074, 7259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14501 and 14518. The biggest common factor number is the GCF number.
So the greatest common factor 14501 and 14518 is 17.

Also check out the Least Common Multiple of 14501 and 14518