What is the Greatest Common Factor of 42240 and 42255?

Greatest common factor (GCF) of 42240 and 42255 is 15.

GCF(42240,42255) = 15

We will now calculate the prime factors of 42240 and 42255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42240 and 42255.

How to find the GCF of 42240 and 42255?

We will first find the prime factorization of 42240 and 42255. After we will calculate the factors of 42240 and 42255 and find the biggest common factor number .

Step-1: Prime Factorization of 42240

Prime factors of 42240 are 2, 3, 5, 11. Prime factorization of 42240 in exponential form is:

42240 = 2⁸ × 3¹ × 5¹ × 11¹

Step-2: Prime Factorization of 42255

Prime factors of 42255 are 3, 5, 313. Prime factorization of 42255 in exponential form is:

42255 = 3³ × 5¹ × 313¹

Step-3: Factors of 42240

List of positive integer factors of 42240 that divides 42240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 128, 132, 160, 165, 176, 192, 220, 240, 256, 264, 320, 330, 352, 384, 440, 480, 528, 640, 660, 704, 768, 880, 960, 1056, 1280, 1320, 1408, 1760, 1920, 2112, 2640, 2816, 3520, 3840, 4224, 5280, 7040, 8448, 10560, 14080, 21120

Step-4: Factors of 42255

List of positive integer factors of 42255 that divides 42240 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 313, 939, 1565, 2817, 4695, 8451, 14085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42240 and 42255. The biggest common factor number is the GCF number.
So the greatest common factor 42240 and 42255 is 15.

Also check out the Least Common Multiple of 42240 and 42255