What is the Greatest Common Factor of 42240 and 42256?

Greatest common factor (GCF) of 42240 and 42256 is 16.

GCF(42240,42256) = 16

We will now calculate the prime factors of 42240 and 42256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42240 and 42256.

How to find the GCF of 42240 and 42256?

We will first find the prime factorization of 42240 and 42256. After we will calculate the factors of 42240 and 42256 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 42256

Prime factors of 42256 are 2, 19, 139. Prime factorization of 42256 in exponential form is:

42256 = 2⁴ × 19¹ × 139¹

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 42256

List of positive integer factors of 42256 that divides 42240 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 139, 152, 278, 304, 556, 1112, 2224, 2641, 5282, 10564, 21128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42240 and 42256. The biggest common factor number is the GCF number.
So the greatest common factor 42240 and 42256 is 16.

Also check out the Least Common Multiple of 42240 and 42256