What is the Greatest Common Factor of 6200 and 6214?

Greatest common factor (GCF) of 6200 and 6214 is 2.

GCF(6200,6214) = 2

We will now calculate the prime factors of 6200 and 6214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6200 and 6214.

How to find the GCF of 6200 and 6214?

We will first find the prime factorization of 6200 and 6214. After we will calculate the factors of 6200 and 6214 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6214

Prime factors of 6214 are 2, 13, 239. Prime factorization of 6214 in exponential form is:

6214 = 2¹ × 13¹ × 239¹

Step-3: Factors of 6200

List of positive integer factors of 6200 that divides 6200 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

Step-4: Factors of 6214

List of positive integer factors of 6214 that divides 6200 without a remainder.

1, 2, 13, 26, 239, 478, 3107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6200 and 6214. The biggest common factor number is the GCF number.
So the greatest common factor 6200 and 6214 is 2.

Also check out the Least Common Multiple of 6200 and 6214