What is the Greatest Common Factor of 78904 and 78912?

Greatest common factor (GCF) of 78904 and 78912 is 8.

GCF(78904,78912) = 8

We will now calculate the prime factors of 78904 and 78912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78904 and 78912.

How to find the GCF of 78904 and 78912?

We will first find the prime factorization of 78904 and 78912. After we will calculate the factors of 78904 and 78912 and find the biggest common factor number .

Step-1: Prime Factorization of 78904

Prime factors of 78904 are 2, 7, 1409. Prime factorization of 78904 in exponential form is:

78904 = 2³ × 7¹ × 1409¹

Step-2: 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-3: Factors of 78904

List of positive integer factors of 78904 that divides 78904 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1409, 2818, 5636, 9863, 11272, 19726, 39452

Step-4: Factors of 78912

List of positive integer factors of 78912 that divides 78904 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78904 and 78912. The biggest common factor number is the GCF number.
So the greatest common factor 78904 and 78912 is 8.

Also check out the Least Common Multiple of 78904 and 78912