What is the Greatest Common Factor of 78416 and 78424?

Greatest common factor (GCF) of 78416 and 78424 is 8.

GCF(78416,78424) = 8

We will now calculate the prime factors of 78416 and 78424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78416 and 78424.

How to find the GCF of 78416 and 78424?

We will first find the prime factorization of 78416 and 78424. After we will calculate the factors of 78416 and 78424 and find the biggest common factor number .

Step-1: Prime Factorization of 78416

Prime factors of 78416 are 2, 13, 29. Prime factorization of 78416 in exponential form is:

78416 = 2⁴ × 13² × 29¹

Step-2: Prime Factorization of 78424

Prime factors of 78424 are 2, 9803. Prime factorization of 78424 in exponential form is:

78424 = 2³ × 9803¹

Step-3: Factors of 78416

List of positive integer factors of 78416 that divides 78416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 169, 208, 232, 338, 377, 464, 676, 754, 1352, 1508, 2704, 3016, 4901, 6032, 9802, 19604, 39208

Step-4: Factors of 78424

List of positive integer factors of 78424 that divides 78416 without a remainder.

1, 2, 4, 8, 9803, 19606, 39212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78416 and 78424. The biggest common factor number is the GCF number.
So the greatest common factor 78416 and 78424 is 8.

Also check out the Least Common Multiple of 78416 and 78424