What is the Greatest Common Factor of 78396 and 78416?

Greatest common factor (GCF) of 78396 and 78416 is 4.

GCF(78396,78416) = 4

We will now calculate the prime factors of 78396 and 78416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78396 and 78416.

How to find the GCF of 78396 and 78416?

We will first find the prime factorization of 78396 and 78416. After we will calculate the factors of 78396 and 78416 and find the biggest common factor number .

Step-1: Prime Factorization of 78396

Prime factors of 78396 are 2, 3, 47, 139. Prime factorization of 78396 in exponential form is:

78396 = 2² × 3¹ × 47¹ × 139¹

Step-2: 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-3: Factors of 78396

List of positive integer factors of 78396 that divides 78396 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 139, 141, 188, 278, 282, 417, 556, 564, 834, 1668, 6533, 13066, 19599, 26132, 39198

Step-4: Factors of 78416

List of positive integer factors of 78416 that divides 78396 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78396 and 78416. The biggest common factor number is the GCF number.
So the greatest common factor 78396 and 78416 is 4.

Also check out the Least Common Multiple of 78396 and 78416