What is the Greatest Common Factor of 15789 and 15808?

Greatest common factor (GCF) of 15789 and 15808 is 19.

GCF(15789,15808) = 19

We will now calculate the prime factors of 15789 and 15808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15789 and 15808.

How to find the GCF of 15789 and 15808?

We will first find the prime factorization of 15789 and 15808. After we will calculate the factors of 15789 and 15808 and find the biggest common factor number .

Step-1: Prime Factorization of 15789

Prime factors of 15789 are 3, 19, 277. Prime factorization of 15789 in exponential form is:

15789 = 3¹ × 19¹ × 277¹

Step-2: 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-3: Factors of 15789

List of positive integer factors of 15789 that divides 15789 without a remainder.

1, 3, 19, 57, 277, 831, 5263

Step-4: Factors of 15808

List of positive integer factors of 15808 that divides 15789 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15789 and 15808. The biggest common factor number is the GCF number.
So the greatest common factor 15789 and 15808 is 19.

Also check out the Least Common Multiple of 15789 and 15808