What is the Greatest Common Factor of 42319 and 42336?

Greatest common factor (GCF) of 42319 and 42336 is 1.

GCF(42319,42336) = 1

We will now calculate the prime factors of 42319 and 42336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42319 and 42336.

How to find the GCF of 42319 and 42336?

We will first find the prime factorization of 42319 and 42336. After we will calculate the factors of 42319 and 42336 and find the biggest common factor number .

Step-1: Prime Factorization of 42319

Prime factors of 42319 are 101, 419. Prime factorization of 42319 in exponential form is:

42319 = 101¹ × 419¹

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 42319

List of positive integer factors of 42319 that divides 42319 without a remainder.

1, 101, 419

Step-4: Factors of 42336

List of positive integer factors of 42336 that divides 42319 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 42319 and 42336. The biggest common factor number is the GCF number.
So the greatest common factor 42319 and 42336 is 1.

Also check out the Least Common Multiple of 42319 and 42336