What is the Greatest Common Factor of 78704 and 78712?

Greatest common factor (GCF) of 78704 and 78712 is 8.

GCF(78704,78712) = 8

We will now calculate the prime factors of 78704 and 78712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78704 and 78712.

How to find the GCF of 78704 and 78712?

We will first find the prime factorization of 78704 and 78712. After we will calculate the factors of 78704 and 78712 and find the biggest common factor number .

Step-1: Prime Factorization of 78704

Prime factors of 78704 are 2, 4919. Prime factorization of 78704 in exponential form is:

78704 = 2⁴ × 4919¹

Step-2: Prime Factorization of 78712

Prime factors of 78712 are 2, 9839. Prime factorization of 78712 in exponential form is:

78712 = 2³ × 9839¹

Step-3: Factors of 78704

List of positive integer factors of 78704 that divides 78704 without a remainder.

1, 2, 4, 8, 16, 4919, 9838, 19676, 39352

Step-4: Factors of 78712

List of positive integer factors of 78712 that divides 78704 without a remainder.

1, 2, 4, 8, 9839, 19678, 39356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78704 and 78712. The biggest common factor number is the GCF number.
So the greatest common factor 78704 and 78712 is 8.

Also check out the Least Common Multiple of 78704 and 78712