What is the Greatest Common Factor of 42224 and 42240?

Greatest common factor (GCF) of 42224 and 42240 is 16.

GCF(42224,42240) = 16

We will now calculate the prime factors of 42224 and 42240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42224 and 42240.

How to find the GCF of 42224 and 42240?

We will first find the prime factorization of 42224 and 42240. After we will calculate the factors of 42224 and 42240 and find the biggest common factor number .

Step-1: Prime Factorization of 42224

Prime factors of 42224 are 2, 7, 13, 29. Prime factorization of 42224 in exponential form is:

42224 = 2⁴ × 7¹ × 13¹ × 29¹

Step-2: 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-3: Factors of 42224

List of positive integer factors of 42224 that divides 42224 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 29, 52, 56, 58, 91, 104, 112, 116, 182, 203, 208, 232, 364, 377, 406, 464, 728, 754, 812, 1456, 1508, 1624, 2639, 3016, 3248, 5278, 6032, 10556, 21112

Step-4: Factors of 42240

List of positive integer factors of 42240 that divides 42224 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42224 and 42240. The biggest common factor number is the GCF number.
So the greatest common factor 42224 and 42240 is 16.

Also check out the Least Common Multiple of 42224 and 42240