What is the Greatest Common Factor of 11837 and 11849?

Greatest common factor (GCF) of 11837 and 11849 is 1.

GCF(11837,11849) = 1

We will now calculate the prime factors of 11837 and 11849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11837 and 11849.

How to find the GCF of 11837 and 11849?

We will first find the prime factorization of 11837 and 11849. After we will calculate the factors of 11837 and 11849 and find the biggest common factor number .

Step-1: Prime Factorization of 11837

Prime factors of 11837 are 7, 19, 89. Prime factorization of 11837 in exponential form is:

11837 = 7¹ × 19¹ × 89¹

Step-2: Prime Factorization of 11849

Prime factors of 11849 are 17, 41. Prime factorization of 11849 in exponential form is:

11849 = 17² × 41¹

Step-3: Factors of 11837

List of positive integer factors of 11837 that divides 11837 without a remainder.

1, 7, 19, 89, 133, 623, 1691

Step-4: Factors of 11849

List of positive integer factors of 11849 that divides 11837 without a remainder.

1, 17, 41, 289, 697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11837 and 11849. The biggest common factor number is the GCF number.
So the greatest common factor 11837 and 11849 is 1.

Also check out the Least Common Multiple of 11837 and 11849