What is the Greatest Common Factor of 78912 and 78916?

Greatest common factor (GCF) of 78912 and 78916 is 4.

GCF(78912,78916) = 4

We will now calculate the prime factors of 78912 and 78916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78912 and 78916.

How to find the GCF of 78912 and 78916?

We will first find the prime factorization of 78912 and 78916. After we will calculate the factors of 78912 and 78916 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 78916

Prime factors of 78916 are 2, 109, 181. Prime factorization of 78916 in exponential form is:

78916 = 2² × 109¹ × 181¹

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 78916

List of positive integer factors of 78916 that divides 78912 without a remainder.

1, 2, 4, 109, 181, 218, 362, 436, 724, 19729, 39458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78912 and 78916. The biggest common factor number is the GCF number.
So the greatest common factor 78912 and 78916 is 4.

Also check out the Least Common Multiple of 78912 and 78916