What is the Greatest Common Factor of 6180 and 6196?

Greatest common factor (GCF) of 6180 and 6196 is 4.

GCF(6180,6196) = 4

We will now calculate the prime factors of 6180 and 6196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6180 and 6196.

How to find the GCF of 6180 and 6196?

We will first find the prime factorization of 6180 and 6196. After we will calculate the factors of 6180 and 6196 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 6196

Prime factors of 6196 are 2, 1549. Prime factorization of 6196 in exponential form is:

6196 = 2² × 1549¹

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 6196

List of positive integer factors of 6196 that divides 6180 without a remainder.

1, 2, 4, 1549, 3098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6180 and 6196. The biggest common factor number is the GCF number.
So the greatest common factor 6180 and 6196 is 4.

Also check out the Least Common Multiple of 6180 and 6196