What is the Greatest Common Factor of 65200 and 65218?

Greatest common factor (GCF) of 65200 and 65218 is 2.

GCF(65200,65218) = 2

We will now calculate the prime factors of 65200 and 65218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65200 and 65218.

How to find the GCF of 65200 and 65218?

We will first find the prime factorization of 65200 and 65218. After we will calculate the factors of 65200 and 65218 and find the biggest common factor number .

Step-1: Prime Factorization of 65200

Prime factors of 65200 are 2, 5, 163. Prime factorization of 65200 in exponential form is:

65200 = 2⁴ × 5² × 163¹

Step-2: Prime Factorization of 65218

Prime factors of 65218 are 2, 32609. Prime factorization of 65218 in exponential form is:

65218 = 2¹ × 32609¹

Step-3: Factors of 65200

List of positive integer factors of 65200 that divides 65200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 163, 200, 326, 400, 652, 815, 1304, 1630, 2608, 3260, 4075, 6520, 8150, 13040, 16300, 32600

Step-4: Factors of 65218

List of positive integer factors of 65218 that divides 65200 without a remainder.

1, 2, 32609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65200 and 65218. The biggest common factor number is the GCF number.
So the greatest common factor 65200 and 65218 is 2.

Also check out the Least Common Multiple of 65200 and 65218