What is the Greatest Common Factor of 6180 and 6200?

Greatest common factor (GCF) of 6180 and 6200 is 20.

GCF(6180,6200) = 20

We will now calculate the prime factors of 6180 and 6200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6180 and 6200.

How to find the GCF of 6180 and 6200?

We will first find the prime factorization of 6180 and 6200. After we will calculate the factors of 6180 and 6200 and find the biggest common factor number .

Step-1: Prime Factorization of 6180

Prime factors of 6180 are 2, 3, 5, 103. Prime factorization of 6180 in exponential form is:

6180 = 2² × 3¹ × 5¹ × 103¹

Step-2: Prime Factorization of 6200

Prime factors of 6200 are 2, 5, 31. Prime factorization of 6200 in exponential form is:

6200 = 2³ × 5² × 31¹

Step-3: Factors of 6180

List of positive integer factors of 6180 that divides 6180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090

Step-4: Factors of 6200

List of positive integer factors of 6200 that divides 6180 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 155, 200, 248, 310, 620, 775, 1240, 1550, 3100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6180 and 6200. The biggest common factor number is the GCF number.
So the greatest common factor 6180 and 6200 is 20.

Also check out the Least Common Multiple of 6180 and 6200