What is the Greatest Common Factor of 14586 and 14597?

Greatest common factor (GCF) of 14586 and 14597 is 11.

GCF(14586,14597) = 11

We will now calculate the prime factors of 14586 and 14597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14586 and 14597.

How to find the GCF of 14586 and 14597?

We will first find the prime factorization of 14586 and 14597. After we will calculate the factors of 14586 and 14597 and find the biggest common factor number .

Step-1: Prime Factorization of 14586

Prime factors of 14586 are 2, 3, 11, 13, 17. Prime factorization of 14586 in exponential form is:

14586 = 2¹ × 3¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 14597

Prime factors of 14597 are 11, 1327. Prime factorization of 14597 in exponential form is:

14597 = 11¹ × 1327¹

Step-3: Factors of 14586

List of positive integer factors of 14586 that divides 14586 without a remainder.

1, 2, 3, 6, 11, 13, 17, 22, 26, 33, 34, 39, 51, 66, 78, 102, 143, 187, 221, 286, 374, 429, 442, 561, 663, 858, 1122, 1326, 2431, 4862, 7293

Step-4: Factors of 14597

List of positive integer factors of 14597 that divides 14586 without a remainder.

1, 11, 1327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14586 and 14597. The biggest common factor number is the GCF number.
So the greatest common factor 14586 and 14597 is 11.

Also check out the Least Common Multiple of 14586 and 14597