What is the Greatest Common Factor of 78688 and 78704?

Greatest common factor (GCF) of 78688 and 78704 is 16.

GCF(78688,78704) = 16

We will now calculate the prime factors of 78688 and 78704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78688 and 78704.

How to find the GCF of 78688 and 78704?

We will first find the prime factorization of 78688 and 78704. After we will calculate the factors of 78688 and 78704 and find the biggest common factor number .

Step-1: Prime Factorization of 78688

Prime factors of 78688 are 2, 2459. Prime factorization of 78688 in exponential form is:

78688 = 2⁵ × 2459¹

Step-2: Prime Factorization of 78704

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

78704 = 2⁴ × 4919¹

Step-3: Factors of 78688

List of positive integer factors of 78688 that divides 78688 without a remainder.

1, 2, 4, 8, 16, 32, 2459, 4918, 9836, 19672, 39344

Step-4: Factors of 78704

List of positive integer factors of 78704 that divides 78688 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78688 and 78704. The biggest common factor number is the GCF number.
So the greatest common factor 78688 and 78704 is 16.

Also check out the Least Common Multiple of 78688 and 78704