What is the Greatest Common Factor of 17782 and 17786?

Greatest common factor (GCF) of 17782 and 17786 is 2.

GCF(17782,17786) = 2

We will now calculate the prime factors of 17782 and 17786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17782 and 17786.

How to find the GCF of 17782 and 17786?

We will first find the prime factorization of 17782 and 17786. After we will calculate the factors of 17782 and 17786 and find the biggest common factor number .

Step-1: Prime Factorization of 17782

Prime factors of 17782 are 2, 17, 523. Prime factorization of 17782 in exponential form is:

17782 = 2¹ × 17¹ × 523¹

Step-2: Prime Factorization of 17786

Prime factors of 17786 are 2, 8893. Prime factorization of 17786 in exponential form is:

17786 = 2¹ × 8893¹

Step-3: Factors of 17782

List of positive integer factors of 17782 that divides 17782 without a remainder.

1, 2, 17, 34, 523, 1046, 8891

Step-4: Factors of 17786

List of positive integer factors of 17786 that divides 17782 without a remainder.

1, 2, 8893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17782 and 17786. The biggest common factor number is the GCF number.
So the greatest common factor 17782 and 17786 is 2.

Also check out the Least Common Multiple of 17782 and 17786