What is the Greatest Common Factor of 78912 and 78930?

Greatest common factor (GCF) of 78912 and 78930 is 18.

GCF(78912,78930) = 18

We will now calculate the prime factors of 78912 and 78930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78912 and 78930.

How to find the GCF of 78912 and 78930?

We will first find the prime factorization of 78912 and 78930. After we will calculate the factors of 78912 and 78930 and find the biggest common factor number .

Step-1: Prime Factorization of 78912

Prime factors of 78912 are 2, 3, 137. Prime factorization of 78912 in exponential form is:

78912 = 2⁶ × 3² × 137¹

Step-2: Prime Factorization of 78930

Prime factors of 78930 are 2, 3, 5, 877. Prime factorization of 78930 in exponential form is:

78930 = 2¹ × 3² × 5¹ × 877¹

Step-3: Factors of 78912

List of positive integer factors of 78912 that divides 78912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 137, 144, 192, 274, 288, 411, 548, 576, 822, 1096, 1233, 1644, 2192, 2466, 3288, 4384, 4932, 6576, 8768, 9864, 13152, 19728, 26304, 39456

Step-4: Factors of 78930

List of positive integer factors of 78930 that divides 78912 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 877, 1754, 2631, 4385, 5262, 7893, 8770, 13155, 15786, 26310, 39465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78912 and 78930. The biggest common factor number is the GCF number.
So the greatest common factor 78912 and 78930 is 18.

Also check out the Least Common Multiple of 78912 and 78930