What is the Greatest Common Factor of 16419 and 16437?

Greatest common factor (GCF) of 16419 and 16437 is 3.

GCF(16419,16437) = 3

We will now calculate the prime factors of 16419 and 16437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16419 and 16437.

How to find the GCF of 16419 and 16437?

We will first find the prime factorization of 16419 and 16437. After we will calculate the factors of 16419 and 16437 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 16437

Prime factors of 16437 are 3, 5479. Prime factorization of 16437 in exponential form is:

16437 = 3¹ × 5479¹

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 16437

List of positive integer factors of 16437 that divides 16419 without a remainder.

1, 3, 5479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16419 and 16437. The biggest common factor number is the GCF number.
So the greatest common factor 16419 and 16437 is 3.

Also check out the Least Common Multiple of 16419 and 16437