What is the Greatest Common Factor of 11837 and 11854?

Greatest common factor (GCF) of 11837 and 11854 is 1.

GCF(11837,11854) = 1

We will now calculate the prime factors of 11837 and 11854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11837 and 11854.

How to find the GCF of 11837 and 11854?

We will first find the prime factorization of 11837 and 11854. After we will calculate the factors of 11837 and 11854 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 11854

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

11854 = 2¹ × 5927¹

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 11854

List of positive integer factors of 11854 that divides 11837 without a remainder.

1, 2, 5927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11837 and 11854. The biggest common factor number is the GCF number.
So the greatest common factor 11837 and 11854 is 1.

Also check out the Least Common Multiple of 11837 and 11854