What is the Greatest Common Factor of 16419 and 16432?

Greatest common factor (GCF) of 16419 and 16432 is 13.

GCF(16419,16432) = 13

We will now calculate the prime factors of 16419 and 16432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16419 and 16432.

How to find the GCF of 16419 and 16432?

We will first find the prime factorization of 16419 and 16432. After we will calculate the factors of 16419 and 16432 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 16432

Prime factors of 16432 are 2, 13, 79. Prime factorization of 16432 in exponential form is:

16432 = 2⁴ × 13¹ × 79¹

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 16432

List of positive integer factors of 16432 that divides 16419 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 79, 104, 158, 208, 316, 632, 1027, 1264, 2054, 4108, 8216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16419 and 16432. The biggest common factor number is the GCF number.
So the greatest common factor 16419 and 16432 is 13.

Also check out the Least Common Multiple of 16419 and 16432