What is the Greatest Common Factor of 16445 and 16458?

Greatest common factor (GCF) of 16445 and 16458 is 13.

GCF(16445,16458) = 13

We will now calculate the prime factors of 16445 and 16458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16445 and 16458.

How to find the GCF of 16445 and 16458?

We will first find the prime factorization of 16445 and 16458. After we will calculate the factors of 16445 and 16458 and find the biggest common factor number .

Step-1: Prime Factorization of 16445

Prime factors of 16445 are 5, 11, 13, 23. Prime factorization of 16445 in exponential form is:

16445 = 5¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 16458

Prime factors of 16458 are 2, 3, 13, 211. Prime factorization of 16458 in exponential form is:

16458 = 2¹ × 3¹ × 13¹ × 211¹

Step-3: Factors of 16445

List of positive integer factors of 16445 that divides 16445 without a remainder.

1, 5, 11, 13, 23, 55, 65, 115, 143, 253, 299, 715, 1265, 1495, 3289

Step-4: Factors of 16458

List of positive integer factors of 16458 that divides 16445 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 211, 422, 633, 1266, 2743, 5486, 8229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16445 and 16458. The biggest common factor number is the GCF number.
So the greatest common factor 16445 and 16458 is 13.

Also check out the Least Common Multiple of 16445 and 16458