What is the Greatest Common Factor of 78604 and 78616?

Greatest common factor (GCF) of 78604 and 78616 is 4.

GCF(78604,78616) = 4

We will now calculate the prime factors of 78604 and 78616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78604 and 78616.

How to find the GCF of 78604 and 78616?

We will first find the prime factorization of 78604 and 78616. After we will calculate the factors of 78604 and 78616 and find the biggest common factor number .

Step-1: Prime Factorization of 78604

Prime factors of 78604 are 2, 43, 457. Prime factorization of 78604 in exponential form is:

78604 = 2² × 43¹ × 457¹

Step-2: Prime Factorization of 78616

Prime factors of 78616 are 2, 31, 317. Prime factorization of 78616 in exponential form is:

78616 = 2³ × 31¹ × 317¹

Step-3: Factors of 78604

List of positive integer factors of 78604 that divides 78604 without a remainder.

1, 2, 4, 43, 86, 172, 457, 914, 1828, 19651, 39302

Step-4: Factors of 78616

List of positive integer factors of 78616 that divides 78604 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 317, 634, 1268, 2536, 9827, 19654, 39308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78604 and 78616. The biggest common factor number is the GCF number.
So the greatest common factor 78604 and 78616 is 4.

Also check out the Least Common Multiple of 78604 and 78616