What is the Greatest Common Factor of 18906 and 18915?

Greatest common factor (GCF) of 18906 and 18915 is 3.

GCF(18906,18915) = 3

We will now calculate the prime factors of 18906 and 18915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18906 and 18915.

How to find the GCF of 18906 and 18915?

We will first find the prime factorization of 18906 and 18915. After we will calculate the factors of 18906 and 18915 and find the biggest common factor number .

Step-1: Prime Factorization of 18906

Prime factors of 18906 are 2, 3, 23, 137. Prime factorization of 18906 in exponential form is:

18906 = 2¹ × 3¹ × 23¹ × 137¹

Step-2: Prime Factorization of 18915

Prime factors of 18915 are 3, 5, 13, 97. Prime factorization of 18915 in exponential form is:

18915 = 3¹ × 5¹ × 13¹ × 97¹

Step-3: Factors of 18906

List of positive integer factors of 18906 that divides 18906 without a remainder.

1, 2, 3, 6, 23, 46, 69, 137, 138, 274, 411, 822, 3151, 6302, 9453

Step-4: Factors of 18915

List of positive integer factors of 18915 that divides 18906 without a remainder.

1, 3, 5, 13, 15, 39, 65, 97, 195, 291, 485, 1261, 1455, 3783, 6305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18906 and 18915. The biggest common factor number is the GCF number.
So the greatest common factor 18906 and 18915 is 3.

Also check out the Least Common Multiple of 18906 and 18915