What is the Greatest Common Factor of 10438 and 10450?

Greatest common factor (GCF) of 10438 and 10450 is 2.

GCF(10438,10450) = 2

We will now calculate the prime factors of 10438 and 10450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10438 and 10450.

How to find the GCF of 10438 and 10450?

We will first find the prime factorization of 10438 and 10450. After we will calculate the factors of 10438 and 10450 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 10450

Prime factors of 10450 are 2, 5, 11, 19. Prime factorization of 10450 in exponential form is:

10450 = 2¹ × 5² × 11¹ × 19¹

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 10450

List of positive integer factors of 10450 that divides 10438 without a remainder.

1, 2, 5, 10, 11, 19, 22, 25, 38, 50, 55, 95, 110, 190, 209, 275, 418, 475, 550, 950, 1045, 2090, 5225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10438 and 10450. The biggest common factor number is the GCF number.
So the greatest common factor 10438 and 10450 is 2.

Also check out the Least Common Multiple of 10438 and 10450