What is the Greatest Common Factor of 16415 and 16432?

Greatest common factor (GCF) of 16415 and 16432 is 1.

GCF(16415,16432) = 1

We will now calculate the prime factors of 16415 and 16432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16415 and 16432.

How to find the GCF of 16415 and 16432?

We will first find the prime factorization of 16415 and 16432. After we will calculate the factors of 16415 and 16432 and find the biggest common factor number .

Step-1: Prime Factorization of 16415

Prime factors of 16415 are 5, 7, 67. Prime factorization of 16415 in exponential form is:

16415 = 5¹ × 7² × 67¹

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 16415

List of positive integer factors of 16415 that divides 16415 without a remainder.

1, 5, 7, 35, 49, 67, 245, 335, 469, 2345, 3283

Step-4: Factors of 16432

List of positive integer factors of 16432 that divides 16415 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 16415 and 16432. The biggest common factor number is the GCF number.
So the greatest common factor 16415 and 16432 is 1.

Also check out the Least Common Multiple of 16415 and 16432