What is the Greatest Common Factor of 16435 and 16454?

Greatest common factor (GCF) of 16435 and 16454 is 19.

GCF(16435,16454) = 19

We will now calculate the prime factors of 16435 and 16454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16435 and 16454.

How to find the GCF of 16435 and 16454?

We will first find the prime factorization of 16435 and 16454. After we will calculate the factors of 16435 and 16454 and find the biggest common factor number .

Step-1: Prime Factorization of 16435

Prime factors of 16435 are 5, 19, 173. Prime factorization of 16435 in exponential form is:

16435 = 5¹ × 19¹ × 173¹

Step-2: Prime Factorization of 16454

Prime factors of 16454 are 2, 19, 433. Prime factorization of 16454 in exponential form is:

16454 = 2¹ × 19¹ × 433¹

Step-3: Factors of 16435

List of positive integer factors of 16435 that divides 16435 without a remainder.

1, 5, 19, 95, 173, 865, 3287

Step-4: Factors of 16454

List of positive integer factors of 16454 that divides 16435 without a remainder.

1, 2, 19, 38, 433, 866, 8227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16435 and 16454. The biggest common factor number is the GCF number.
So the greatest common factor 16435 and 16454 is 19.

Also check out the Least Common Multiple of 16435 and 16454