What is the Greatest Common Factor of 42384 and 42396?

Greatest common factor (GCF) of 42384 and 42396 is 12.

GCF(42384,42396) = 12

We will now calculate the prime factors of 42384 and 42396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42384 and 42396.

How to find the GCF of 42384 and 42396?

We will first find the prime factorization of 42384 and 42396. After we will calculate the factors of 42384 and 42396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42396

Prime factors of 42396 are 2, 3, 3533. Prime factorization of 42396 in exponential form is:

42396 = 2² × 3¹ × 3533¹

Step-3: Factors of 42384

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

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

Step-4: Factors of 42396

List of positive integer factors of 42396 that divides 42384 without a remainder.

1, 2, 3, 4, 6, 12, 3533, 7066, 10599, 14132, 21198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42384 and 42396. The biggest common factor number is the GCF number.
So the greatest common factor 42384 and 42396 is 12.

Also check out the Least Common Multiple of 42384 and 42396