What is the Greatest Common Factor of 83200 and 83218?

Greatest common factor (GCF) of 83200 and 83218 is 2.

GCF(83200,83218) = 2

We will now calculate the prime factors of 83200 and 83218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83200 and 83218.

How to find the GCF of 83200 and 83218?

We will first find the prime factorization of 83200 and 83218. After we will calculate the factors of 83200 and 83218 and find the biggest common factor number .

Step-1: Prime Factorization of 83200

Prime factors of 83200 are 2, 5, 13. Prime factorization of 83200 in exponential form is:

83200 = 2⁸ × 5² × 13¹

Step-2: Prime Factorization of 83218

Prime factors of 83218 are 2, 41609. Prime factorization of 83218 in exponential form is:

83218 = 2¹ × 41609¹

Step-3: Factors of 83200

List of positive integer factors of 83200 that divides 83200 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 64, 65, 80, 100, 104, 128, 130, 160, 200, 208, 256, 260, 320, 325, 400, 416, 520, 640, 650, 800, 832, 1040, 1280, 1300, 1600, 1664, 2080, 2600, 3200, 3328, 4160, 5200, 6400, 8320, 10400, 16640, 20800, 41600

Step-4: Factors of 83218

List of positive integer factors of 83218 that divides 83200 without a remainder.

1, 2, 41609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83200 and 83218. The biggest common factor number is the GCF number.
So the greatest common factor 83200 and 83218 is 2.

Also check out the Least Common Multiple of 83200 and 83218