What is the Greatest Common Factor of 42352 and 42368?

Greatest common factor (GCF) of 42352 and 42368 is 16.

GCF(42352,42368) = 16

We will now calculate the prime factors of 42352 and 42368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42352 and 42368.

How to find the GCF of 42352 and 42368?

We will first find the prime factorization of 42352 and 42368. After we will calculate the factors of 42352 and 42368 and find the biggest common factor number .

Step-1: Prime Factorization of 42352

Prime factors of 42352 are 2, 2647. Prime factorization of 42352 in exponential form is:

42352 = 2⁴ × 2647¹

Step-2: Prime Factorization of 42368

Prime factors of 42368 are 2, 331. Prime factorization of 42368 in exponential form is:

42368 = 2⁷ × 331¹

Step-3: Factors of 42352

List of positive integer factors of 42352 that divides 42352 without a remainder.

1, 2, 4, 8, 16, 2647, 5294, 10588, 21176

Step-4: Factors of 42368

List of positive integer factors of 42368 that divides 42352 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 331, 662, 1324, 2648, 5296, 10592, 21184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42352 and 42368. The biggest common factor number is the GCF number.
So the greatest common factor 42352 and 42368 is 16.

Also check out the Least Common Multiple of 42352 and 42368