What is the Greatest Common Factor of 78679 and 78688?

Greatest common factor (GCF) of 78679 and 78688 is 1.

GCF(78679,78688) = 1

We will now calculate the prime factors of 78679 and 78688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78679 and 78688.

How to find the GCF of 78679 and 78688?

We will first find the prime factorization of 78679 and 78688. After we will calculate the factors of 78679 and 78688 and find the biggest common factor number .

Step-1: Prime Factorization of 78679

Prime factors of 78679 are 19, 41, 101. Prime factorization of 78679 in exponential form is:

78679 = 19¹ × 41¹ × 101¹

Step-2: Prime Factorization of 78688

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

78688 = 2⁵ × 2459¹

Step-3: Factors of 78679

List of positive integer factors of 78679 that divides 78679 without a remainder.

1, 19, 41, 101, 779, 1919, 4141

Step-4: Factors of 78688

List of positive integer factors of 78688 that divides 78679 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78679 and 78688. The biggest common factor number is the GCF number.
So the greatest common factor 78679 and 78688 is 1.

Also check out the Least Common Multiple of 78679 and 78688