What is the Greatest Common Factor of 11849 and 11854?

Greatest common factor (GCF) of 11849 and 11854 is 1.

GCF(11849,11854) = 1

We will now calculate the prime factors of 11849 and 11854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11849 and 11854.

How to find the GCF of 11849 and 11854?

We will first find the prime factorization of 11849 and 11854. After we will calculate the factors of 11849 and 11854 and find the biggest common factor number .

Step-1: Prime Factorization of 11849

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

11849 = 17² × 41¹

Step-2: Prime Factorization of 11854

Prime factors of 11854 are 2, 5927. Prime factorization of 11854 in exponential form is:

11854 = 2¹ × 5927¹

Step-3: Factors of 11849

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

1, 17, 41, 289, 697

Step-4: Factors of 11854

List of positive integer factors of 11854 that divides 11849 without a remainder.

1, 2, 5927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11849 and 11854. The biggest common factor number is the GCF number.
So the greatest common factor 11849 and 11854 is 1.

Also check out the Least Common Multiple of 11849 and 11854