What is the Greatest Common Factor of 42449 and 42466?

Greatest common factor (GCF) of 42449 and 42466 is 17.

GCF(42449,42466) = 17

We will now calculate the prime factors of 42449 and 42466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42449 and 42466.

How to find the GCF of 42449 and 42466?

We will first find the prime factorization of 42449 and 42466. After we will calculate the factors of 42449 and 42466 and find the biggest common factor number .

Step-1: Prime Factorization of 42449

Prime factors of 42449 are 11, 17, 227. Prime factorization of 42449 in exponential form is:

42449 = 11¹ × 17¹ × 227¹

Step-2: Prime Factorization of 42466

Prime factors of 42466 are 2, 17, 1249. Prime factorization of 42466 in exponential form is:

42466 = 2¹ × 17¹ × 1249¹

Step-3: Factors of 42449

List of positive integer factors of 42449 that divides 42449 without a remainder.

1, 11, 17, 187, 227, 2497, 3859

Step-4: Factors of 42466

List of positive integer factors of 42466 that divides 42449 without a remainder.

1, 2, 17, 34, 1249, 2498, 21233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42449 and 42466. The biggest common factor number is the GCF number.
So the greatest common factor 42449 and 42466 is 17.

Also check out the Least Common Multiple of 42449 and 42466