What is the Greatest Common Factor of 42012 and 42027?

Greatest common factor (GCF) of 42012 and 42027 is 3.

GCF(42012,42027) = 3

We will now calculate the prime factors of 42012 and 42027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42012 and 42027.

How to find the GCF of 42012 and 42027?

We will first find the prime factorization of 42012 and 42027. After we will calculate the factors of 42012 and 42027 and find the biggest common factor number .

Step-1: Prime Factorization of 42012

Prime factors of 42012 are 2, 3, 389. Prime factorization of 42012 in exponential form is:

42012 = 2² × 3³ × 389¹

Step-2: Prime Factorization of 42027

Prime factors of 42027 are 3, 14009. Prime factorization of 42027 in exponential form is:

42027 = 3¹ × 14009¹

Step-3: Factors of 42012

List of positive integer factors of 42012 that divides 42012 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 389, 778, 1167, 1556, 2334, 3501, 4668, 7002, 10503, 14004, 21006

Step-4: Factors of 42027

List of positive integer factors of 42027 that divides 42012 without a remainder.

1, 3, 14009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42012 and 42027. The biggest common factor number is the GCF number.
So the greatest common factor 42012 and 42027 is 3.

Also check out the Least Common Multiple of 42012 and 42027