What is the Greatest Common Factor of 10438 and 10442?

Greatest common factor (GCF) of 10438 and 10442 is 2.

GCF(10438,10442) = 2

We will now calculate the prime factors of 10438 and 10442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10438 and 10442.

How to find the GCF of 10438 and 10442?

We will first find the prime factorization of 10438 and 10442. After we will calculate the factors of 10438 and 10442 and find the biggest common factor number .

Step-1: Prime Factorization of 10438

Prime factors of 10438 are 2, 17, 307. Prime factorization of 10438 in exponential form is:

10438 = 2¹ × 17¹ × 307¹

Step-2: Prime Factorization of 10442

Prime factors of 10442 are 2, 23, 227. Prime factorization of 10442 in exponential form is:

10442 = 2¹ × 23¹ × 227¹

Step-3: Factors of 10438

List of positive integer factors of 10438 that divides 10438 without a remainder.

1, 2, 17, 34, 307, 614, 5219

Step-4: Factors of 10442

List of positive integer factors of 10442 that divides 10438 without a remainder.

1, 2, 23, 46, 227, 454, 5221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10438 and 10442. The biggest common factor number is the GCF number.
So the greatest common factor 10438 and 10442 is 2.

Also check out the Least Common Multiple of 10438 and 10442