What is the Greatest Common Factor of 15778 and 15785?

Greatest common factor (GCF) of 15778 and 15785 is 7.

GCF(15778,15785) = 7

We will now calculate the prime factors of 15778 and 15785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15778 and 15785.

How to find the GCF of 15778 and 15785?

We will first find the prime factorization of 15778 and 15785. After we will calculate the factors of 15778 and 15785 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 15785

Prime factors of 15785 are 5, 7, 11, 41. Prime factorization of 15785 in exponential form is:

15785 = 5¹ × 7¹ × 11¹ × 41¹

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 15785

List of positive integer factors of 15785 that divides 15778 without a remainder.

1, 5, 7, 11, 35, 41, 55, 77, 205, 287, 385, 451, 1435, 2255, 3157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15778 and 15785. The biggest common factor number is the GCF number.
So the greatest common factor 15778 and 15785 is 7.

Also check out the Least Common Multiple of 15778 and 15785