What is the Greatest Common Factor of 42216 and 42227?

Greatest common factor (GCF) of 42216 and 42227 is 1.

GCF(42216,42227) = 1

We will now calculate the prime factors of 42216 and 42227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42216 and 42227.

How to find the GCF of 42216 and 42227?

We will first find the prime factorization of 42216 and 42227. After we will calculate the factors of 42216 and 42227 and find the biggest common factor number .

Step-1: Prime Factorization of 42216

Prime factors of 42216 are 2, 3, 1759. Prime factorization of 42216 in exponential form is:

42216 = 2³ × 3¹ × 1759¹

Step-2: Prime Factorization of 42227

Prime factors of 42227 are 42227. Prime factorization of 42227 in exponential form is:

42227 = 42227¹

Step-3: Factors of 42216

List of positive integer factors of 42216 that divides 42216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1759, 3518, 5277, 7036, 10554, 14072, 21108

Step-4: Factors of 42227

List of positive integer factors of 42227 that divides 42216 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42216 and 42227. The biggest common factor number is the GCF number.
So the greatest common factor 42216 and 42227 is 1.

Also check out the Least Common Multiple of 42216 and 42227