What is the Greatest Common Factor of 42378 and 42384?

Greatest common factor (GCF) of 42378 and 42384 is 6.

GCF(42378,42384) = 6

We will now calculate the prime factors of 42378 and 42384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42378 and 42384.

How to find the GCF of 42378 and 42384?

We will first find the prime factorization of 42378 and 42384. After we will calculate the factors of 42378 and 42384 and find the biggest common factor number .

Step-1: Prime Factorization of 42378

Prime factors of 42378 are 2, 3, 7, 1009. Prime factorization of 42378 in exponential form is:

42378 = 2¹ × 3¹ × 7¹ × 1009¹

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 42378

List of positive integer factors of 42378 that divides 42378 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1009, 2018, 3027, 6054, 7063, 14126, 21189

Step-4: Factors of 42384

List of positive integer factors of 42384 that divides 42378 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 42378 and 42384. The biggest common factor number is the GCF number.
So the greatest common factor 42378 and 42384 is 6.

Also check out the Least Common Multiple of 42378 and 42384