What is the Greatest Common Factor of 10438 and 10455?

Greatest common factor (GCF) of 10438 and 10455 is 17.

GCF(10438,10455) = 17

We will now calculate the prime factors of 10438 and 10455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10438 and 10455.

How to find the GCF of 10438 and 10455?

We will first find the prime factorization of 10438 and 10455. After we will calculate the factors of 10438 and 10455 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 10455

Prime factors of 10455 are 3, 5, 17, 41. Prime factorization of 10455 in exponential form is:

10455 = 3¹ × 5¹ × 17¹ × 41¹

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 10455

List of positive integer factors of 10455 that divides 10438 without a remainder.

1, 3, 5, 15, 17, 41, 51, 85, 123, 205, 255, 615, 697, 2091, 3485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10438 and 10455. The biggest common factor number is the GCF number.
So the greatest common factor 10438 and 10455 is 17.

Also check out the Least Common Multiple of 10438 and 10455