What is the Greatest Common Factor of 15794 and 15808?

Greatest common factor (GCF) of 15794 and 15808 is 2.

GCF(15794,15808) = 2

We will now calculate the prime factors of 15794 and 15808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15794 and 15808.

How to find the GCF of 15794 and 15808?

We will first find the prime factorization of 15794 and 15808. After we will calculate the factors of 15794 and 15808 and find the biggest common factor number .

Step-1: Prime Factorization of 15794

Prime factors of 15794 are 2, 53, 149. Prime factorization of 15794 in exponential form is:

15794 = 2¹ × 53¹ × 149¹

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 15794

List of positive integer factors of 15794 that divides 15794 without a remainder.

1, 2, 53, 106, 149, 298, 7897

Step-4: Factors of 15808

List of positive integer factors of 15808 that divides 15794 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 15794 and 15808. The biggest common factor number is the GCF number.
So the greatest common factor 15794 and 15808 is 2.

Also check out the Least Common Multiple of 15794 and 15808