What is the Greatest Common Factor of 42054 and 42059?

Greatest common factor (GCF) of 42054 and 42059 is 1.

GCF(42054,42059) = 1

We will now calculate the prime factors of 42054 and 42059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42054 and 42059.

How to find the GCF of 42054 and 42059?

We will first find the prime factorization of 42054 and 42059. After we will calculate the factors of 42054 and 42059 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 42059

Prime factors of 42059 are 137, 307. Prime factorization of 42059 in exponential form is:

42059 = 137¹ × 307¹

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 42059

List of positive integer factors of 42059 that divides 42054 without a remainder.

1, 137, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42054 and 42059. The biggest common factor number is the GCF number.
So the greatest common factor 42054 and 42059 is 1.

Also check out the Least Common Multiple of 42054 and 42059