What is the Greatest Common Factor of 42438 and 42449?

Greatest common factor (GCF) of 42438 and 42449 is 11.

GCF(42438,42449) = 11

We will now calculate the prime factors of 42438 and 42449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42438 and 42449.

How to find the GCF of 42438 and 42449?

We will first find the prime factorization of 42438 and 42449. After we will calculate the factors of 42438 and 42449 and find the biggest common factor number .

Step-1: Prime Factorization of 42438

Prime factors of 42438 are 2, 3, 11, 643. Prime factorization of 42438 in exponential form is:

42438 = 2¹ × 3¹ × 11¹ × 643¹

Step-2: 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-3: Factors of 42438

List of positive integer factors of 42438 that divides 42438 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 643, 1286, 1929, 3858, 7073, 14146, 21219

Step-4: Factors of 42449

List of positive integer factors of 42449 that divides 42438 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42438 and 42449. The biggest common factor number is the GCF number.
So the greatest common factor 42438 and 42449 is 11.

Also check out the Least Common Multiple of 42438 and 42449