What is the Greatest Common Factor of 12665 and 12670?

Greatest common factor (GCF) of 12665 and 12670 is 5.

GCF(12665,12670) = 5

We will now calculate the prime factors of 12665 and 12670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12665 and 12670.

How to find the GCF of 12665 and 12670?

We will first find the prime factorization of 12665 and 12670. After we will calculate the factors of 12665 and 12670 and find the biggest common factor number .

Step-1: Prime Factorization of 12665

Prime factors of 12665 are 5, 17, 149. Prime factorization of 12665 in exponential form is:

12665 = 5¹ × 17¹ × 149¹

Step-2: Prime Factorization of 12670

Prime factors of 12670 are 2, 5, 7, 181. Prime factorization of 12670 in exponential form is:

12670 = 2¹ × 5¹ × 7¹ × 181¹

Step-3: Factors of 12665

List of positive integer factors of 12665 that divides 12665 without a remainder.

1, 5, 17, 85, 149, 745, 2533

Step-4: Factors of 12670

List of positive integer factors of 12670 that divides 12665 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 181, 362, 905, 1267, 1810, 2534, 6335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12665 and 12670. The biggest common factor number is the GCF number.
So the greatest common factor 12665 and 12670 is 5.

Also check out the Least Common Multiple of 12665 and 12670