What is the Greatest Common Factor of 15808 and 15817?

Greatest common factor (GCF) of 15808 and 15817 is 1.

GCF(15808,15817) = 1

We will now calculate the prime factors of 15808 and 15817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15808 and 15817.

How to find the GCF of 15808 and 15817?

We will first find the prime factorization of 15808 and 15817. After we will calculate the factors of 15808 and 15817 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 15817

Prime factors of 15817 are 15817. Prime factorization of 15817 in exponential form is:

15817 = 15817¹

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 15817

List of positive integer factors of 15817 that divides 15808 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15808 and 15817. The biggest common factor number is the GCF number.
So the greatest common factor 15808 and 15817 is 1.

Also check out the Least Common Multiple of 15808 and 15817