What is the Greatest Common Factor of 42240 and 42254?

Greatest common factor (GCF) of 42240 and 42254 is 2.

GCF(42240,42254) = 2

We will now calculate the prime factors of 42240 and 42254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42240 and 42254.

How to find the GCF of 42240 and 42254?

We will first find the prime factorization of 42240 and 42254. After we will calculate the factors of 42240 and 42254 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 42254

Prime factors of 42254 are 2, 37, 571. Prime factorization of 42254 in exponential form is:

42254 = 2¹ × 37¹ × 571¹

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 42254

List of positive integer factors of 42254 that divides 42240 without a remainder.

1, 2, 37, 74, 571, 1142, 21127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42240 and 42254. The biggest common factor number is the GCF number.
So the greatest common factor 42240 and 42254 is 2.

Also check out the Least Common Multiple of 42240 and 42254