What is the Greatest Common Factor of 18711 and 18726?

Greatest common factor (GCF) of 18711 and 18726 is 3.

GCF(18711,18726) = 3

We will now calculate the prime factors of 18711 and 18726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18711 and 18726.

How to find the GCF of 18711 and 18726?

We will first find the prime factorization of 18711 and 18726. After we will calculate the factors of 18711 and 18726 and find the biggest common factor number .

Step-1: Prime Factorization of 18711

Prime factors of 18711 are 3, 7, 11. Prime factorization of 18711 in exponential form is:

18711 = 3⁵ × 7¹ × 11¹

Step-2: Prime Factorization of 18726

Prime factors of 18726 are 2, 3, 3121. Prime factorization of 18726 in exponential form is:

18726 = 2¹ × 3¹ × 3121¹

Step-3: Factors of 18711

List of positive integer factors of 18711 that divides 18711 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 243, 297, 567, 693, 891, 1701, 2079, 2673, 6237

Step-4: Factors of 18726

List of positive integer factors of 18726 that divides 18711 without a remainder.

1, 2, 3, 6, 3121, 6242, 9363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18711 and 18726. The biggest common factor number is the GCF number.
So the greatest common factor 18711 and 18726 is 3.

Also check out the Least Common Multiple of 18711 and 18726