What is the Greatest Common Factor of 16419 and 16431?

Greatest common factor (GCF) of 16419 and 16431 is 3.

GCF(16419,16431) = 3

We will now calculate the prime factors of 16419 and 16431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16419 and 16431.

How to find the GCF of 16419 and 16431?

We will first find the prime factorization of 16419 and 16431. After we will calculate the factors of 16419 and 16431 and find the biggest common factor number .

Step-1: Prime Factorization of 16419

Prime factors of 16419 are 3, 13, 421. Prime factorization of 16419 in exponential form is:

16419 = 3¹ × 13¹ × 421¹

Step-2: Prime Factorization of 16431

Prime factors of 16431 are 3, 5477. Prime factorization of 16431 in exponential form is:

16431 = 3¹ × 5477¹

Step-3: Factors of 16419

List of positive integer factors of 16419 that divides 16419 without a remainder.

1, 3, 13, 39, 421, 1263, 5473

Step-4: Factors of 16431

List of positive integer factors of 16431 that divides 16419 without a remainder.

1, 3, 5477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16419 and 16431. The biggest common factor number is the GCF number.
So the greatest common factor 16419 and 16431 is 3.

Also check out the Least Common Multiple of 16419 and 16431