What is the Greatest Common Factor of 42054 and 42072?

Greatest common factor (GCF) of 42054 and 42072 is 6.

GCF(42054,42072) = 6

We will now calculate the prime factors of 42054 and 42072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42054 and 42072.

How to find the GCF of 42054 and 42072?

We will first find the prime factorization of 42054 and 42072. After we will calculate the factors of 42054 and 42072 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 42072

Prime factors of 42072 are 2, 3, 1753. Prime factorization of 42072 in exponential form is:

42072 = 2³ × 3¹ × 1753¹

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 42072

List of positive integer factors of 42072 that divides 42054 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1753, 3506, 5259, 7012, 10518, 14024, 21036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42054 and 42072. The biggest common factor number is the GCF number.
So the greatest common factor 42054 and 42072 is 6.

Also check out the Least Common Multiple of 42054 and 42072