What is the Greatest Common Factor of 65200 and 65210?

Greatest common factor (GCF) of 65200 and 65210 is 10.

GCF(65200,65210) = 10

We will now calculate the prime factors of 65200 and 65210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65200 and 65210.

How to find the GCF of 65200 and 65210?

We will first find the prime factorization of 65200 and 65210. After we will calculate the factors of 65200 and 65210 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 65210

Prime factors of 65210 are 2, 5, 6521. Prime factorization of 65210 in exponential form is:

65210 = 2¹ × 5¹ × 6521¹

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 65210

List of positive integer factors of 65210 that divides 65200 without a remainder.

1, 2, 5, 10, 6521, 13042, 32605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65200 and 65210. The biggest common factor number is the GCF number.
So the greatest common factor 65200 and 65210 is 10.

Also check out the Least Common Multiple of 65200 and 65210