What is the Greatest Common Factor of 6226 and 6240?

Greatest common factor (GCF) of 6226 and 6240 is 2.

GCF(6226,6240) = 2

We will now calculate the prime factors of 6226 and 6240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6226 and 6240.

How to find the GCF of 6226 and 6240?

We will first find the prime factorization of 6226 and 6240. After we will calculate the factors of 6226 and 6240 and find the biggest common factor number .

Step-1: Prime Factorization of 6226

Prime factors of 6226 are 2, 11, 283. Prime factorization of 6226 in exponential form is:

6226 = 2¹ × 11¹ × 283¹

Step-2: Prime Factorization of 6240

Prime factors of 6240 are 2, 3, 5, 13. Prime factorization of 6240 in exponential form is:

6240 = 2⁵ × 3¹ × 5¹ × 13¹

Step-3: Factors of 6226

List of positive integer factors of 6226 that divides 6226 without a remainder.

1, 2, 11, 22, 283, 566, 3113

Step-4: Factors of 6240

List of positive integer factors of 6240 that divides 6226 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6226 and 6240. The biggest common factor number is the GCF number.
So the greatest common factor 6226 and 6240 is 2.

Also check out the Least Common Multiple of 6226 and 6240