What is the Greatest Common Factor of 11782 and 11798?

Greatest common factor (GCF) of 11782 and 11798 is 2.

GCF(11782,11798) = 2

We will now calculate the prime factors of 11782 and 11798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11782 and 11798.

How to find the GCF of 11782 and 11798?

We will first find the prime factorization of 11782 and 11798. After we will calculate the factors of 11782 and 11798 and find the biggest common factor number .

Step-1: Prime Factorization of 11782

Prime factors of 11782 are 2, 43, 137. Prime factorization of 11782 in exponential form is:

11782 = 2¹ × 43¹ × 137¹

Step-2: Prime Factorization of 11798

Prime factors of 11798 are 2, 17, 347. Prime factorization of 11798 in exponential form is:

11798 = 2¹ × 17¹ × 347¹

Step-3: Factors of 11782

List of positive integer factors of 11782 that divides 11782 without a remainder.

1, 2, 43, 86, 137, 274, 5891

Step-4: Factors of 11798

List of positive integer factors of 11798 that divides 11782 without a remainder.

1, 2, 17, 34, 347, 694, 5899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11782 and 11798. The biggest common factor number is the GCF number.
So the greatest common factor 11782 and 11798 is 2.

Also check out the Least Common Multiple of 11782 and 11798