What is the Greatest Common Factor of 15808 and 15816?

Greatest common factor (GCF) of 15808 and 15816 is 8.

GCF(15808,15816) = 8

We will now calculate the prime factors of 15808 and 15816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15808 and 15816.

How to find the GCF of 15808 and 15816?

We will first find the prime factorization of 15808 and 15816. After we will calculate the factors of 15808 and 15816 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 15816

Prime factors of 15816 are 2, 3, 659. Prime factorization of 15816 in exponential form is:

15816 = 2³ × 3¹ × 659¹

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 15816

List of positive integer factors of 15816 that divides 15808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 659, 1318, 1977, 2636, 3954, 5272, 7908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15808 and 15816. The biggest common factor number is the GCF number.
So the greatest common factor 15808 and 15816 is 8.

Also check out the Least Common Multiple of 15808 and 15816