What is the Greatest Common Factor of 6228 and 6248?

Greatest common factor (GCF) of 6228 and 6248 is 4.

GCF(6228,6248) = 4

We will now calculate the prime factors of 6228 and 6248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6228 and 6248.

How to find the GCF of 6228 and 6248?

We will first find the prime factorization of 6228 and 6248. After we will calculate the factors of 6228 and 6248 and find the biggest common factor number .

Step-1: Prime Factorization of 6228

Prime factors of 6228 are 2, 3, 173. Prime factorization of 6228 in exponential form is:

6228 = 2² × 3² × 173¹

Step-2: Prime Factorization of 6248

Prime factors of 6248 are 2, 11, 71. Prime factorization of 6248 in exponential form is:

6248 = 2³ × 11¹ × 71¹

Step-3: Factors of 6228

List of positive integer factors of 6228 that divides 6228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114

Step-4: Factors of 6248

List of positive integer factors of 6248 that divides 6228 without a remainder.

1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6228 and 6248. The biggest common factor number is the GCF number.
So the greatest common factor 6228 and 6248 is 4.

Also check out the Least Common Multiple of 6228 and 6248