What is the Greatest Common Factor of 6202 and 6216?

Greatest common factor (GCF) of 6202 and 6216 is 14.

GCF(6202,6216) = 14

We will now calculate the prime factors of 6202 and 6216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6202 and 6216.

How to find the GCF of 6202 and 6216?

We will first find the prime factorization of 6202 and 6216. After we will calculate the factors of 6202 and 6216 and find the biggest common factor number .

Step-1: Prime Factorization of 6202

Prime factors of 6202 are 2, 7, 443. Prime factorization of 6202 in exponential form is:

6202 = 2¹ × 7¹ × 443¹

Step-2: Prime Factorization of 6216

Prime factors of 6216 are 2, 3, 7, 37. Prime factorization of 6216 in exponential form is:

6216 = 2³ × 3¹ × 7¹ × 37¹

Step-3: Factors of 6202

List of positive integer factors of 6202 that divides 6202 without a remainder.

1, 2, 7, 14, 443, 886, 3101

Step-4: Factors of 6216

List of positive integer factors of 6216 that divides 6202 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 56, 74, 84, 111, 148, 168, 222, 259, 296, 444, 518, 777, 888, 1036, 1554, 2072, 3108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6202 and 6216. The biggest common factor number is the GCF number.
So the greatest common factor 6202 and 6216 is 14.

Also check out the Least Common Multiple of 6202 and 6216