What is the Greatest Common Factor of 42054 and 42069?

Greatest common factor (GCF) of 42054 and 42069 is 3.

GCF(42054,42069) = 3

We will now calculate the prime factors of 42054 and 42069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42054 and 42069.

How to find the GCF of 42054 and 42069?

We will first find the prime factorization of 42054 and 42069. After we will calculate the factors of 42054 and 42069 and find the biggest common factor number .

Step-1: Prime Factorization of 42054

Prime factors of 42054 are 2, 3, 43, 163. Prime factorization of 42054 in exponential form is:

42054 = 2¹ × 3¹ × 43¹ × 163¹

Step-2: Prime Factorization of 42069

Prime factors of 42069 are 3, 37, 379. Prime factorization of 42069 in exponential form is:

42069 = 3¹ × 37¹ × 379¹

Step-3: Factors of 42054

List of positive integer factors of 42054 that divides 42054 without a remainder.

1, 2, 3, 6, 43, 86, 129, 163, 258, 326, 489, 978, 7009, 14018, 21027

Step-4: Factors of 42069

List of positive integer factors of 42069 that divides 42054 without a remainder.

1, 3, 37, 111, 379, 1137, 14023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42054 and 42069. The biggest common factor number is the GCF number.
So the greatest common factor 42054 and 42069 is 3.

Also check out the Least Common Multiple of 42054 and 42069