What is the Greatest Common Factor of 42320 and 42336?

Greatest common factor (GCF) of 42320 and 42336 is 16.

GCF(42320,42336) = 16

We will now calculate the prime factors of 42320 and 42336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42320 and 42336.

How to find the GCF of 42320 and 42336?

We will first find the prime factorization of 42320 and 42336. After we will calculate the factors of 42320 and 42336 and find the biggest common factor number .

Step-1: Prime Factorization of 42320

Prime factors of 42320 are 2, 5, 23. Prime factorization of 42320 in exponential form is:

42320 = 2⁴ × 5¹ × 23²

Step-2: Prime Factorization of 42336

Prime factors of 42336 are 2, 3, 7. Prime factorization of 42336 in exponential form is:

42336 = 2⁵ × 3³ × 7²

Step-3: Factors of 42320

List of positive integer factors of 42320 that divides 42320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 529, 920, 1058, 1840, 2116, 2645, 4232, 5290, 8464, 10580, 21160

Step-4: Factors of 42336

List of positive integer factors of 42336 that divides 42320 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 49, 54, 56, 63, 72, 84, 96, 98, 108, 112, 126, 144, 147, 168, 189, 196, 216, 224, 252, 288, 294, 336, 378, 392, 432, 441, 504, 588, 672, 756, 784, 864, 882, 1008, 1176, 1323, 1512, 1568, 1764, 2016, 2352, 2646, 3024, 3528, 4704, 5292, 6048, 7056, 10584, 14112, 21168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42320 and 42336. The biggest common factor number is the GCF number.
So the greatest common factor 42320 and 42336 is 16.

Also check out the Least Common Multiple of 42320 and 42336