What is the Greatest Common Factor of 10450 and 10459?

Greatest common factor (GCF) of 10450 and 10459 is 1.

GCF(10450,10459) = 1

We will now calculate the prime factors of 10450 and 10459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10450 and 10459.

How to find the GCF of 10450 and 10459?

We will first find the prime factorization of 10450 and 10459. After we will calculate the factors of 10450 and 10459 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10459

Prime factors of 10459 are 10459. Prime factorization of 10459 in exponential form is:

10459 = 10459¹

Step-3: Factors of 10450

List of positive integer factors of 10450 that divides 10450 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

Step-4: Factors of 10459

List of positive integer factors of 10459 that divides 10450 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10450 and 10459. The biggest common factor number is the GCF number.
So the greatest common factor 10450 and 10459 is 1.

Also check out the Least Common Multiple of 10450 and 10459