What is the Greatest Common Factor of 42336 and 42354?

Greatest common factor (GCF) of 42336 and 42354 is 18.

GCF(42336,42354) = 18

We will now calculate the prime factors of 42336 and 42354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42336 and 42354.

How to find the GCF of 42336 and 42354?

We will first find the prime factorization of 42336 and 42354. After we will calculate the factors of 42336 and 42354 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42354

Prime factors of 42354 are 2, 3, 13, 181. Prime factorization of 42354 in exponential form is:

42354 = 2¹ × 3² × 13¹ × 181¹

Step-3: Factors of 42336

List of positive integer factors of 42336 that divides 42336 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

Step-4: Factors of 42354

List of positive integer factors of 42354 that divides 42336 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 181, 234, 362, 543, 1086, 1629, 2353, 3258, 4706, 7059, 14118, 21177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42336 and 42354. The biggest common factor number is the GCF number.
So the greatest common factor 42336 and 42354 is 18.

Also check out the Least Common Multiple of 42336 and 42354