What is the Greatest Common Factor of 42384 and 42388?

Greatest common factor (GCF) of 42384 and 42388 is 4.

GCF(42384,42388) = 4

We will now calculate the prime factors of 42384 and 42388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42384 and 42388.

How to find the GCF of 42384 and 42388?

We will first find the prime factorization of 42384 and 42388. After we will calculate the factors of 42384 and 42388 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 42388

Prime factors of 42388 are 2, 10597. Prime factorization of 42388 in exponential form is:

42388 = 2² × 10597¹

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 42388

List of positive integer factors of 42388 that divides 42384 without a remainder.

1, 2, 4, 10597, 21194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42384 and 42388. The biggest common factor number is the GCF number.
So the greatest common factor 42384 and 42388 is 4.

Also check out the Least Common Multiple of 42384 and 42388