What is the Greatest Common Factor of 42267 and 42279?

Greatest common factor (GCF) of 42267 and 42279 is 3.

GCF(42267,42279) = 3

We will now calculate the prime factors of 42267 and 42279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42267 and 42279.

How to find the GCF of 42267 and 42279?

We will first find the prime factorization of 42267 and 42279. After we will calculate the factors of 42267 and 42279 and find the biggest common factor number .

Step-1: Prime Factorization of 42267

Prime factors of 42267 are 3, 73, 193. Prime factorization of 42267 in exponential form is:

42267 = 3¹ × 73¹ × 193¹

Step-2: Prime Factorization of 42279

Prime factors of 42279 are 3, 17, 829. Prime factorization of 42279 in exponential form is:

42279 = 3¹ × 17¹ × 829¹

Step-3: Factors of 42267

List of positive integer factors of 42267 that divides 42267 without a remainder.

1, 3, 73, 193, 219, 579, 14089

Step-4: Factors of 42279

List of positive integer factors of 42279 that divides 42267 without a remainder.

1, 3, 17, 51, 829, 2487, 14093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42267 and 42279. The biggest common factor number is the GCF number.
So the greatest common factor 42267 and 42279 is 3.

Also check out the Least Common Multiple of 42267 and 42279