What is the Greatest Common Factor of 16472 and 16487?

Greatest common factor (GCF) of 16472 and 16487 is 1.

GCF(16472,16487) = 1

We will now calculate the prime factors of 16472 and 16487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16472 and 16487.

How to find the GCF of 16472 and 16487?

We will first find the prime factorization of 16472 and 16487. After we will calculate the factors of 16472 and 16487 and find the biggest common factor number .

Step-1: Prime Factorization of 16472

Prime factors of 16472 are 2, 29, 71. Prime factorization of 16472 in exponential form is:

16472 = 2³ × 29¹ × 71¹

Step-2: Prime Factorization of 16487

Prime factors of 16487 are 16487. Prime factorization of 16487 in exponential form is:

16487 = 16487¹

Step-3: Factors of 16472

List of positive integer factors of 16472 that divides 16472 without a remainder.

1, 2, 4, 8, 29, 58, 71, 116, 142, 232, 284, 568, 2059, 4118, 8236

Step-4: Factors of 16487

List of positive integer factors of 16487 that divides 16472 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16472 and 16487. The biggest common factor number is the GCF number.
So the greatest common factor 16472 and 16487 is 1.

Also check out the Least Common Multiple of 16472 and 16487