What is the Greatest Common Factor of 78208 and 78216?

Greatest common factor (GCF) of 78208 and 78216 is 8.

GCF(78208,78216) = 8

We will now calculate the prime factors of 78208 and 78216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78208 and 78216.

How to find the GCF of 78208 and 78216?

We will first find the prime factorization of 78208 and 78216. After we will calculate the factors of 78208 and 78216 and find the biggest common factor number .

Step-1: Prime Factorization of 78208

Prime factors of 78208 are 2, 13, 47. Prime factorization of 78208 in exponential form is:

78208 = 2⁷ × 13¹ × 47¹

Step-2: Prime Factorization of 78216

Prime factors of 78216 are 2, 3, 3259. Prime factorization of 78216 in exponential form is:

78216 = 2³ × 3¹ × 3259¹

Step-3: Factors of 78208

List of positive integer factors of 78208 that divides 78208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 47, 52, 64, 94, 104, 128, 188, 208, 376, 416, 611, 752, 832, 1222, 1504, 1664, 2444, 3008, 4888, 6016, 9776, 19552, 39104

Step-4: Factors of 78216

List of positive integer factors of 78216 that divides 78208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3259, 6518, 9777, 13036, 19554, 26072, 39108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78208 and 78216. The biggest common factor number is the GCF number.
So the greatest common factor 78208 and 78216 is 8.

Also check out the Least Common Multiple of 78208 and 78216