What is the Greatest Common Factor of 6234 and 6240?

Greatest common factor (GCF) of 6234 and 6240 is 6.

GCF(6234,6240) = 6

We will now calculate the prime factors of 6234 and 6240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6234 and 6240.

How to find the GCF of 6234 and 6240?

We will first find the prime factorization of 6234 and 6240. After we will calculate the factors of 6234 and 6240 and find the biggest common factor number .

Step-1: Prime Factorization of 6234

Prime factors of 6234 are 2, 3, 1039. Prime factorization of 6234 in exponential form is:

6234 = 2¹ × 3¹ × 1039¹

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 6234

List of positive integer factors of 6234 that divides 6234 without a remainder.

1, 2, 3, 6, 1039, 2078, 3117

Step-4: Factors of 6240

List of positive integer factors of 6240 that divides 6234 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 6234 and 6240. The biggest common factor number is the GCF number.
So the greatest common factor 6234 and 6240 is 6.

Also check out the Least Common Multiple of 6234 and 6240