What is the Greatest Common Factor of 16458 and 16472?

Greatest common factor (GCF) of 16458 and 16472 is 2.

GCF(16458,16472) = 2

We will now calculate the prime factors of 16458 and 16472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16458 and 16472.

How to find the GCF of 16458 and 16472?

We will first find the prime factorization of 16458 and 16472. After we will calculate the factors of 16458 and 16472 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 16458

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

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

Step-4: Factors of 16472

List of positive integer factors of 16472 that divides 16458 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16458 and 16472. The biggest common factor number is the GCF number.
So the greatest common factor 16458 and 16472 is 2.

Also check out the Least Common Multiple of 16458 and 16472