What is the Greatest Common Factor of 15827 and 15844?

Greatest common factor (GCF) of 15827 and 15844 is 17.

GCF(15827,15844) = 17

We will now calculate the prime factors of 15827 and 15844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15827 and 15844.

How to find the GCF of 15827 and 15844?

We will first find the prime factorization of 15827 and 15844. After we will calculate the factors of 15827 and 15844 and find the biggest common factor number .

Step-1: Prime Factorization of 15827

Prime factors of 15827 are 7, 17, 19. Prime factorization of 15827 in exponential form is:

15827 = 7² × 17¹ × 19¹

Step-2: Prime Factorization of 15844

Prime factors of 15844 are 2, 17, 233. Prime factorization of 15844 in exponential form is:

15844 = 2² × 17¹ × 233¹

Step-3: Factors of 15827

List of positive integer factors of 15827 that divides 15827 without a remainder.

1, 7, 17, 19, 49, 119, 133, 323, 833, 931, 2261

Step-4: Factors of 15844

List of positive integer factors of 15844 that divides 15827 without a remainder.

1, 2, 4, 17, 34, 68, 233, 466, 932, 3961, 7922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15827 and 15844. The biggest common factor number is the GCF number.
So the greatest common factor 15827 and 15844 is 17.

Also check out the Least Common Multiple of 15827 and 15844