What is the Greatest Common Factor of 42267 and 42282?

Greatest common factor (GCF) of 42267 and 42282 is 3.

GCF(42267,42282) = 3

We will now calculate the prime factors of 42267 and 42282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42267 and 42282.

How to find the GCF of 42267 and 42282?

We will first find the prime factorization of 42267 and 42282. After we will calculate the factors of 42267 and 42282 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 42282

Prime factors of 42282 are 2, 3, 29. Prime factorization of 42282 in exponential form is:

42282 = 2¹ × 3⁶ × 29¹

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 42282

List of positive integer factors of 42282 that divides 42267 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 243, 261, 486, 522, 729, 783, 1458, 1566, 2349, 4698, 7047, 14094, 21141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42267 and 42282. The biggest common factor number is the GCF number.
So the greatest common factor 42267 and 42282 is 3.

Also check out the Least Common Multiple of 42267 and 42282