What is the Greatest Common Factor of 62200 and 62205?

Greatest common factor (GCF) of 62200 and 62205 is 5.

GCF(62200,62205) = 5

We will now calculate the prime factors of 62200 and 62205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62200 and 62205.

How to find the GCF of 62200 and 62205?

We will first find the prime factorization of 62200 and 62205. After we will calculate the factors of 62200 and 62205 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 62205

Prime factors of 62205 are 3, 5, 11, 13, 29. Prime factorization of 62205 in exponential form is:

62205 = 3¹ × 5¹ × 11¹ × 13¹ × 29¹

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 62205

List of positive integer factors of 62205 that divides 62200 without a remainder.

1, 3, 5, 11, 13, 15, 29, 33, 39, 55, 65, 87, 143, 145, 165, 195, 319, 377, 429, 435, 715, 957, 1131, 1595, 1885, 2145, 4147, 4785, 5655, 12441, 20735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62200 and 62205. The biggest common factor number is the GCF number.
So the greatest common factor 62200 and 62205 is 5.

Also check out the Least Common Multiple of 62200 and 62205