What is the Greatest Common Factor of 10431 and 10450?

Greatest common factor (GCF) of 10431 and 10450 is 19.

GCF(10431,10450) = 19

We will now calculate the prime factors of 10431 and 10450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10431 and 10450.

How to find the GCF of 10431 and 10450?

We will first find the prime factorization of 10431 and 10450. After we will calculate the factors of 10431 and 10450 and find the biggest common factor number .

Step-1: Prime Factorization of 10431

Prime factors of 10431 are 3, 19, 61. Prime factorization of 10431 in exponential form is:

10431 = 3² × 19¹ × 61¹

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 10431

List of positive integer factors of 10431 that divides 10431 without a remainder.

1, 3, 9, 19, 57, 61, 171, 183, 549, 1159, 3477

Step-4: Factors of 10450

List of positive integer factors of 10450 that divides 10431 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 10431 and 10450. The biggest common factor number is the GCF number.
So the greatest common factor 10431 and 10450 is 19.

Also check out the Least Common Multiple of 10431 and 10450