What is the Greatest Common Factor of 15808 and 15827?

Greatest common factor (GCF) of 15808 and 15827 is 19.

GCF(15808,15827) = 19

We will now calculate the prime factors of 15808 and 15827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15808 and 15827.

How to find the GCF of 15808 and 15827?

We will first find the prime factorization of 15808 and 15827. After we will calculate the factors of 15808 and 15827 and find the biggest common factor number .

Step-1: Prime Factorization of 15808

Prime factors of 15808 are 2, 13, 19. Prime factorization of 15808 in exponential form is:

15808 = 2⁶ × 13¹ × 19¹

Step-2: 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-3: Factors of 15808

List of positive integer factors of 15808 that divides 15808 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 64, 76, 104, 152, 208, 247, 304, 416, 494, 608, 832, 988, 1216, 1976, 3952, 7904

Step-4: Factors of 15827

List of positive integer factors of 15827 that divides 15808 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15808 and 15827. The biggest common factor number is the GCF number.
So the greatest common factor 15808 and 15827 is 19.

Also check out the Least Common Multiple of 15808 and 15827