What is the Greatest Common Factor of 42912 and 42930?

Greatest common factor (GCF) of 42912 and 42930 is 18.

GCF(42912,42930) = 18

We will now calculate the prime factors of 42912 and 42930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42912 and 42930.

How to find the GCF of 42912 and 42930?

We will first find the prime factorization of 42912 and 42930. After we will calculate the factors of 42912 and 42930 and find the biggest common factor number .

Step-1: Prime Factorization of 42912

Prime factors of 42912 are 2, 3, 149. Prime factorization of 42912 in exponential form is:

42912 = 2⁵ × 3² × 149¹

Step-2: Prime Factorization of 42930

Prime factors of 42930 are 2, 3, 5, 53. Prime factorization of 42930 in exponential form is:

42930 = 2¹ × 3⁴ × 5¹ × 53¹

Step-3: Factors of 42912

List of positive integer factors of 42912 that divides 42912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 149, 288, 298, 447, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 4768, 5364, 7152, 10728, 14304, 21456

Step-4: Factors of 42930

List of positive integer factors of 42930 that divides 42912 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 53, 54, 81, 90, 106, 135, 159, 162, 265, 270, 318, 405, 477, 530, 795, 810, 954, 1431, 1590, 2385, 2862, 4293, 4770, 7155, 8586, 14310, 21465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42912 and 42930. The biggest common factor number is the GCF number.
So the greatest common factor 42912 and 42930 is 18.

Also check out the Least Common Multiple of 42912 and 42930