What is the Greatest Common Factor of 11854 and 11862?

Greatest common factor (GCF) of 11854 and 11862 is 2.

GCF(11854,11862) = 2

We will now calculate the prime factors of 11854 and 11862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11854 and 11862.

How to find the GCF of 11854 and 11862?

We will first find the prime factorization of 11854 and 11862. After we will calculate the factors of 11854 and 11862 and find the biggest common factor number .

Step-1: Prime Factorization of 11854

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

11854 = 2¹ × 5927¹

Step-2: Prime Factorization of 11862

Prime factors of 11862 are 2, 3, 659. Prime factorization of 11862 in exponential form is:

11862 = 2¹ × 3² × 659¹

Step-3: Factors of 11854

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

1, 2, 5927

Step-4: Factors of 11862

List of positive integer factors of 11862 that divides 11854 without a remainder.

1, 2, 3, 6, 9, 18, 659, 1318, 1977, 3954, 5931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11854 and 11862. The biggest common factor number is the GCF number.
So the greatest common factor 11854 and 11862 is 2.

Also check out the Least Common Multiple of 11854 and 11862