What is the Greatest Common Factor of 16472 and 16492?

Greatest common factor (GCF) of 16472 and 16492 is 4.

GCF(16472,16492) = 4

We will now calculate the prime factors of 16472 and 16492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16472 and 16492.

How to find the GCF of 16472 and 16492?

We will first find the prime factorization of 16472 and 16492. After we will calculate the factors of 16472 and 16492 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 16492

Prime factors of 16492 are 2, 7, 19, 31. Prime factorization of 16492 in exponential form is:

16492 = 2² × 7¹ × 19¹ × 31¹

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 16492

List of positive integer factors of 16492 that divides 16472 without a remainder.

1, 2, 4, 7, 14, 19, 28, 31, 38, 62, 76, 124, 133, 217, 266, 434, 532, 589, 868, 1178, 2356, 4123, 8246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16472 and 16492. The biggest common factor number is the GCF number.
So the greatest common factor 16472 and 16492 is 4.

Also check out the Least Common Multiple of 16472 and 16492