What is the Greatest Common Factor of 11786 and 11803?

Greatest common factor (GCF) of 11786 and 11803 is 1.

GCF(11786,11803) = 1

We will now calculate the prime factors of 11786 and 11803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11786 and 11803.

How to find the GCF of 11786 and 11803?

We will first find the prime factorization of 11786 and 11803. After we will calculate the factors of 11786 and 11803 and find the biggest common factor number .

Step-1: Prime Factorization of 11786

Prime factors of 11786 are 2, 71, 83. Prime factorization of 11786 in exponential form is:

11786 = 2¹ × 71¹ × 83¹

Step-2: Prime Factorization of 11803

Prime factors of 11803 are 11, 29, 37. Prime factorization of 11803 in exponential form is:

11803 = 11¹ × 29¹ × 37¹

Step-3: Factors of 11786

List of positive integer factors of 11786 that divides 11786 without a remainder.

1, 2, 71, 83, 142, 166, 5893

Step-4: Factors of 11803

List of positive integer factors of 11803 that divides 11786 without a remainder.

1, 11, 29, 37, 319, 407, 1073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11786 and 11803. The biggest common factor number is the GCF number.
So the greatest common factor 11786 and 11803 is 1.

Also check out the Least Common Multiple of 11786 and 11803