What is the Greatest Common Factor of 11749 and 11763?

Greatest common factor (GCF) of 11749 and 11763 is 1.

GCF(11749,11763) = 1

We will now calculate the prime factors of 11749 and 11763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11749 and 11763.

How to find the GCF of 11749 and 11763?

We will first find the prime factorization of 11749 and 11763. After we will calculate the factors of 11749 and 11763 and find the biggest common factor number .

Step-1: Prime Factorization of 11749

Prime factors of 11749 are 31, 379. Prime factorization of 11749 in exponential form is:

11749 = 31¹ × 379¹

Step-2: Prime Factorization of 11763

Prime factors of 11763 are 3, 1307. Prime factorization of 11763 in exponential form is:

11763 = 3² × 1307¹

Step-3: Factors of 11749

List of positive integer factors of 11749 that divides 11749 without a remainder.

1, 31, 379

Step-4: Factors of 11763

List of positive integer factors of 11763 that divides 11749 without a remainder.

1, 3, 9, 1307, 3921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11749 and 11763. The biggest common factor number is the GCF number.
So the greatest common factor 11749 and 11763 is 1.

Also check out the Least Common Multiple of 11749 and 11763