What is the Greatest Common Factor of 15665 and 15678?

Greatest common factor (GCF) of 15665 and 15678 is 13.

GCF(15665,15678) = 13

We will now calculate the prime factors of 15665 and 15678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15665 and 15678.

How to find the GCF of 15665 and 15678?

We will first find the prime factorization of 15665 and 15678. After we will calculate the factors of 15665 and 15678 and find the biggest common factor number .

Step-1: Prime Factorization of 15665

Prime factors of 15665 are 5, 13, 241. Prime factorization of 15665 in exponential form is:

15665 = 5¹ × 13¹ × 241¹

Step-2: Prime Factorization of 15678

Prime factors of 15678 are 2, 3, 13, 67. Prime factorization of 15678 in exponential form is:

15678 = 2¹ × 3² × 13¹ × 67¹

Step-3: Factors of 15665

List of positive integer factors of 15665 that divides 15665 without a remainder.

1, 5, 13, 65, 241, 1205, 3133

Step-4: Factors of 15678

List of positive integer factors of 15678 that divides 15665 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 67, 78, 117, 134, 201, 234, 402, 603, 871, 1206, 1742, 2613, 5226, 7839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15665 and 15678. The biggest common factor number is the GCF number.
So the greatest common factor 15665 and 15678 is 13.

Also check out the Least Common Multiple of 15665 and 15678