What is the Greatest Common Factor of 42240 and 42258?

Greatest common factor (GCF) of 42240 and 42258 is 6.

GCF(42240,42258) = 6

We will now calculate the prime factors of 42240 and 42258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42240 and 42258.

How to find the GCF of 42240 and 42258?

We will first find the prime factorization of 42240 and 42258. After we will calculate the factors of 42240 and 42258 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 42258

Prime factors of 42258 are 2, 3, 7043. Prime factorization of 42258 in exponential form is:

42258 = 2¹ × 3¹ × 7043¹

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 42258

List of positive integer factors of 42258 that divides 42240 without a remainder.

1, 2, 3, 6, 7043, 14086, 21129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42240 and 42258. The biggest common factor number is the GCF number.
So the greatest common factor 42240 and 42258 is 6.

Also check out the Least Common Multiple of 42240 and 42258