What is the Greatest Common Factor of 18936 and 18942?

Greatest common factor (GCF) of 18936 and 18942 is 6.

GCF(18936,18942) = 6

We will now calculate the prime factors of 18936 and 18942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18936 and 18942.

How to find the GCF of 18936 and 18942?

We will first find the prime factorization of 18936 and 18942. After we will calculate the factors of 18936 and 18942 and find the biggest common factor number .

Step-1: Prime Factorization of 18936

Prime factors of 18936 are 2, 3, 263. Prime factorization of 18936 in exponential form is:

18936 = 2³ × 3² × 263¹

Step-2: Prime Factorization of 18942

Prime factors of 18942 are 2, 3, 7, 11, 41. Prime factorization of 18942 in exponential form is:

18942 = 2¹ × 3¹ × 7¹ × 11¹ × 41¹

Step-3: Factors of 18936

List of positive integer factors of 18936 that divides 18936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 263, 526, 789, 1052, 1578, 2104, 2367, 3156, 4734, 6312, 9468

Step-4: Factors of 18942

List of positive integer factors of 18942 that divides 18936 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 41, 42, 66, 77, 82, 123, 154, 231, 246, 287, 451, 462, 574, 861, 902, 1353, 1722, 2706, 3157, 6314, 9471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18936 and 18942. The biggest common factor number is the GCF number.
So the greatest common factor 18936 and 18942 is 6.

Also check out the Least Common Multiple of 18936 and 18942