What is the Greatest Common Factor of 42368 and 42384?

Greatest common factor (GCF) of 42368 and 42384 is 16.

GCF(42368,42384) = 16

We will now calculate the prime factors of 42368 and 42384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42368 and 42384.

How to find the GCF of 42368 and 42384?

We will first find the prime factorization of 42368 and 42384. After we will calculate the factors of 42368 and 42384 and find the biggest common factor number .

Step-1: Prime Factorization of 42368

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

42368 = 2⁷ × 331¹

Step-2: Prime Factorization of 42384

Prime factors of 42384 are 2, 3, 883. Prime factorization of 42384 in exponential form is:

42384 = 2⁴ × 3¹ × 883¹

Step-3: Factors of 42368

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

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

Step-4: Factors of 42384

List of positive integer factors of 42384 that divides 42368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 883, 1766, 2649, 3532, 5298, 7064, 10596, 14128, 21192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42368 and 42384. The biggest common factor number is the GCF number.
So the greatest common factor 42368 and 42384 is 16.

Also check out the Least Common Multiple of 42368 and 42384