What is the Greatest Common Factor of 62200 and 62210?

Greatest common factor (GCF) of 62200 and 62210 is 10.

GCF(62200,62210) = 10

We will now calculate the prime factors of 62200 and 62210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62200 and 62210.

How to find the GCF of 62200 and 62210?

We will first find the prime factorization of 62200 and 62210. After we will calculate the factors of 62200 and 62210 and find the biggest common factor number .

Step-1: Prime Factorization of 62200

Prime factors of 62200 are 2, 5, 311. Prime factorization of 62200 in exponential form is:

62200 = 2³ × 5² × 311¹

Step-2: Prime Factorization of 62210

Prime factors of 62210 are 2, 5, 6221. Prime factorization of 62210 in exponential form is:

62210 = 2¹ × 5¹ × 6221¹

Step-3: Factors of 62200

List of positive integer factors of 62200 that divides 62200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 311, 622, 1244, 1555, 2488, 3110, 6220, 7775, 12440, 15550, 31100

Step-4: Factors of 62210

List of positive integer factors of 62210 that divides 62200 without a remainder.

1, 2, 5, 10, 6221, 12442, 31105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62200 and 62210. The biggest common factor number is the GCF number.
So the greatest common factor 62200 and 62210 is 10.

Also check out the Least Common Multiple of 62200 and 62210