What is the Greatest Common Factor of 10450 and 10469?

Greatest common factor (GCF) of 10450 and 10469 is 19.

GCF(10450,10469) = 19

We will now calculate the prime factors of 10450 and 10469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10450 and 10469.

How to find the GCF of 10450 and 10469?

We will first find the prime factorization of 10450 and 10469. After we will calculate the factors of 10450 and 10469 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 10469

Prime factors of 10469 are 19, 29. Prime factorization of 10469 in exponential form is:

10469 = 19² × 29¹

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 10469

List of positive integer factors of 10469 that divides 10450 without a remainder.

1, 19, 29, 361, 551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10450 and 10469. The biggest common factor number is the GCF number.
So the greatest common factor 10450 and 10469 is 19.

Also check out the Least Common Multiple of 10450 and 10469