What is the Greatest Common Factor of 10438 and 10456?

Greatest common factor (GCF) of 10438 and 10456 is 2.

GCF(10438,10456) = 2

We will now calculate the prime factors of 10438 and 10456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10438 and 10456.

How to find the GCF of 10438 and 10456?

We will first find the prime factorization of 10438 and 10456. After we will calculate the factors of 10438 and 10456 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 10456

Prime factors of 10456 are 2, 1307. Prime factorization of 10456 in exponential form is:

10456 = 2³ × 1307¹

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 10456

List of positive integer factors of 10456 that divides 10438 without a remainder.

1, 2, 4, 8, 1307, 2614, 5228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10438 and 10456. The biggest common factor number is the GCF number.
So the greatest common factor 10438 and 10456 is 2.

Also check out the Least Common Multiple of 10438 and 10456