What is the Greatest Common Factor of 10438 and 10447?

Greatest common factor (GCF) of 10438 and 10447 is 1.

GCF(10438,10447) = 1

We will now calculate the prime factors of 10438 and 10447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10438 and 10447.

How to find the GCF of 10438 and 10447?

We will first find the prime factorization of 10438 and 10447. After we will calculate the factors of 10438 and 10447 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 10447

Prime factors of 10447 are 31, 337. Prime factorization of 10447 in exponential form is:

10447 = 31¹ × 337¹

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 10447

List of positive integer factors of 10447 that divides 10438 without a remainder.

1, 31, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10438 and 10447. The biggest common factor number is the GCF number.
So the greatest common factor 10438 and 10447 is 1.

Also check out the Least Common Multiple of 10438 and 10447