What is the Greatest Common Factor of 62195 and 62200?

Greatest common factor (GCF) of 62195 and 62200 is 5.

GCF(62195,62200) = 5

We will now calculate the prime factors of 62195 and 62200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62195 and 62200.

How to find the GCF of 62195 and 62200?

We will first find the prime factorization of 62195 and 62200. After we will calculate the factors of 62195 and 62200 and find the biggest common factor number .

Step-1: Prime Factorization of 62195

Prime factors of 62195 are 5, 7, 1777. Prime factorization of 62195 in exponential form is:

62195 = 5¹ × 7¹ × 1777¹

Step-2: 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-3: Factors of 62195

List of positive integer factors of 62195 that divides 62195 without a remainder.

1, 5, 7, 35, 1777, 8885, 12439

Step-4: Factors of 62200

List of positive integer factors of 62200 that divides 62195 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62195 and 62200. The biggest common factor number is the GCF number.
So the greatest common factor 62195 and 62200 is 5.

Also check out the Least Common Multiple of 62195 and 62200