What is the Greatest Common Factor of 66200 and 66210?

Greatest common factor (GCF) of 66200 and 66210 is 10.

GCF(66200,66210) = 10

We will now calculate the prime factors of 66200 and 66210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66200 and 66210.

How to find the GCF of 66200 and 66210?

We will first find the prime factorization of 66200 and 66210. After we will calculate the factors of 66200 and 66210 and find the biggest common factor number .

Step-1: Prime Factorization of 66200

Prime factors of 66200 are 2, 5, 331. Prime factorization of 66200 in exponential form is:

66200 = 2³ × 5² × 331¹

Step-2: Prime Factorization of 66210

Prime factors of 66210 are 2, 3, 5, 2207. Prime factorization of 66210 in exponential form is:

66210 = 2¹ × 3¹ × 5¹ × 2207¹

Step-3: Factors of 66200

List of positive integer factors of 66200 that divides 66200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 331, 662, 1324, 1655, 2648, 3310, 6620, 8275, 13240, 16550, 33100

Step-4: Factors of 66210

List of positive integer factors of 66210 that divides 66200 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2207, 4414, 6621, 11035, 13242, 22070, 33105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66200 and 66210. The biggest common factor number is the GCF number.
So the greatest common factor 66200 and 66210 is 10.

Also check out the Least Common Multiple of 66200 and 66210