What is the Greatest Common Factor of 78216 and 78224?

Greatest common factor (GCF) of 78216 and 78224 is 8.

GCF(78216,78224) = 8

We will now calculate the prime factors of 78216 and 78224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78216 and 78224.

How to find the GCF of 78216 and 78224?

We will first find the prime factorization of 78216 and 78224. After we will calculate the factors of 78216 and 78224 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78224

Prime factors of 78224 are 2, 4889. Prime factorization of 78224 in exponential form is:

78224 = 2⁴ × 4889¹

Step-3: Factors of 78216

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

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

Step-4: Factors of 78224

List of positive integer factors of 78224 that divides 78216 without a remainder.

1, 2, 4, 8, 16, 4889, 9778, 19556, 39112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78216 and 78224. The biggest common factor number is the GCF number.
So the greatest common factor 78216 and 78224 is 8.

Also check out the Least Common Multiple of 78216 and 78224