What is the Greatest Common Factor of 16471 and 16485?

Greatest common factor (GCF) of 16471 and 16485 is 7.

GCF(16471,16485) = 7

We will now calculate the prime factors of 16471 and 16485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16471 and 16485.

How to find the GCF of 16471 and 16485?

We will first find the prime factorization of 16471 and 16485. After we will calculate the factors of 16471 and 16485 and find the biggest common factor number .

Step-1: Prime Factorization of 16471

Prime factors of 16471 are 7, 13, 181. Prime factorization of 16471 in exponential form is:

16471 = 7¹ × 13¹ × 181¹

Step-2: Prime Factorization of 16485

Prime factors of 16485 are 3, 5, 7, 157. Prime factorization of 16485 in exponential form is:

16485 = 3¹ × 5¹ × 7¹ × 157¹

Step-3: Factors of 16471

List of positive integer factors of 16471 that divides 16471 without a remainder.

1, 7, 13, 91, 181, 1267, 2353

Step-4: Factors of 16485

List of positive integer factors of 16485 that divides 16471 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 157, 471, 785, 1099, 2355, 3297, 5495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16471 and 16485. The biggest common factor number is the GCF number.
So the greatest common factor 16471 and 16485 is 7.

Also check out the Least Common Multiple of 16471 and 16485