What is the Greatest Common Factor of 18912 and 18930?

Greatest common factor (GCF) of 18912 and 18930 is 6.

GCF(18912,18930) = 6

We will now calculate the prime factors of 18912 and 18930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18912 and 18930.

How to find the GCF of 18912 and 18930?

We will first find the prime factorization of 18912 and 18930. After we will calculate the factors of 18912 and 18930 and find the biggest common factor number .

Step-1: Prime Factorization of 18912

Prime factors of 18912 are 2, 3, 197. Prime factorization of 18912 in exponential form is:

18912 = 2⁵ × 3¹ × 197¹

Step-2: Prime Factorization of 18930

Prime factors of 18930 are 2, 3, 5, 631. Prime factorization of 18930 in exponential form is:

18930 = 2¹ × 3¹ × 5¹ × 631¹

Step-3: Factors of 18912

List of positive integer factors of 18912 that divides 18912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 6304, 9456

Step-4: Factors of 18930

List of positive integer factors of 18930 that divides 18912 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 631, 1262, 1893, 3155, 3786, 6310, 9465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18912 and 18930. The biggest common factor number is the GCF number.
So the greatest common factor 18912 and 18930 is 6.

Also check out the Least Common Multiple of 18912 and 18930