What is the Greatest Common Factor of 78912 and 78929?

Greatest common factor (GCF) of 78912 and 78929 is 1.

GCF(78912,78929) = 1

We will now calculate the prime factors of 78912 and 78929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78912 and 78929.

How to find the GCF of 78912 and 78929?

We will first find the prime factorization of 78912 and 78929. After we will calculate the factors of 78912 and 78929 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 78929

Prime factors of 78929 are 78929. Prime factorization of 78929 in exponential form is:

78929 = 78929¹

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 78929

List of positive integer factors of 78929 that divides 78912 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78912 and 78929. The biggest common factor number is the GCF number.
So the greatest common factor 78912 and 78929 is 1.

Also check out the Least Common Multiple of 78912 and 78929