What is the Greatest Common Factor of 10419 and 10431?

Greatest common factor (GCF) of 10419 and 10431 is 3.

GCF(10419,10431) = 3

We will now calculate the prime factors of 10419 and 10431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10419 and 10431.

How to find the GCF of 10419 and 10431?

We will first find the prime factorization of 10419 and 10431. After we will calculate the factors of 10419 and 10431 and find the biggest common factor number .

Step-1: Prime Factorization of 10419

Prime factors of 10419 are 3, 23, 151. Prime factorization of 10419 in exponential form is:

10419 = 3¹ × 23¹ × 151¹

Step-2: 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-3: Factors of 10419

List of positive integer factors of 10419 that divides 10419 without a remainder.

1, 3, 23, 69, 151, 453, 3473

Step-4: Factors of 10431

List of positive integer factors of 10431 that divides 10419 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10419 and 10431. The biggest common factor number is the GCF number.
So the greatest common factor 10419 and 10431 is 3.

Also check out the Least Common Multiple of 10419 and 10431