What is the Greatest Common Factor of 15778 and 15798?

Greatest common factor (GCF) of 15778 and 15798 is 2.

GCF(15778,15798) = 2

We will now calculate the prime factors of 15778 and 15798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15778 and 15798.

How to find the GCF of 15778 and 15798?

We will first find the prime factorization of 15778 and 15798. After we will calculate the factors of 15778 and 15798 and find the biggest common factor number .

Step-1: Prime Factorization of 15778

Prime factors of 15778 are 2, 7, 23. Prime factorization of 15778 in exponential form is:

15778 = 2¹ × 7³ × 23¹

Step-2: Prime Factorization of 15798

Prime factors of 15798 are 2, 3, 2633. Prime factorization of 15798 in exponential form is:

15798 = 2¹ × 3¹ × 2633¹

Step-3: Factors of 15778

List of positive integer factors of 15778 that divides 15778 without a remainder.

1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 343, 686, 1127, 2254, 7889

Step-4: Factors of 15798

List of positive integer factors of 15798 that divides 15778 without a remainder.

1, 2, 3, 6, 2633, 5266, 7899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15778 and 15798. The biggest common factor number is the GCF number.
So the greatest common factor 15778 and 15798 is 2.

Also check out the Least Common Multiple of 15778 and 15798