What is the Greatest Common Factor of 15774 and 15785?

Greatest common factor (GCF) of 15774 and 15785 is 11.

GCF(15774,15785) = 11

We will now calculate the prime factors of 15774 and 15785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15774 and 15785.

How to find the GCF of 15774 and 15785?

We will first find the prime factorization of 15774 and 15785. After we will calculate the factors of 15774 and 15785 and find the biggest common factor number .

Step-1: Prime Factorization of 15774

Prime factors of 15774 are 2, 3, 11, 239. Prime factorization of 15774 in exponential form is:

15774 = 2¹ × 3¹ × 11¹ × 239¹

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 15774

List of positive integer factors of 15774 that divides 15774 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 239, 478, 717, 1434, 2629, 5258, 7887

Step-4: Factors of 15785

List of positive integer factors of 15785 that divides 15774 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 15774 and 15785. The biggest common factor number is the GCF number.
So the greatest common factor 15774 and 15785 is 11.

Also check out the Least Common Multiple of 15774 and 15785