What is the Greatest Common Factor of 16523 and 16540?

Greatest common factor (GCF) of 16523 and 16540 is 1.

GCF(16523,16540) = 1

We will now calculate the prime factors of 16523 and 16540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16523 and 16540.

How to find the GCF of 16523 and 16540?

We will first find the prime factorization of 16523 and 16540. After we will calculate the factors of 16523 and 16540 and find the biggest common factor number .

Step-1: Prime Factorization of 16523

Prime factors of 16523 are 13, 31, 41. Prime factorization of 16523 in exponential form is:

16523 = 13¹ × 31¹ × 41¹

Step-2: Prime Factorization of 16540

Prime factors of 16540 are 2, 5, 827. Prime factorization of 16540 in exponential form is:

16540 = 2² × 5¹ × 827¹

Step-3: Factors of 16523

List of positive integer factors of 16523 that divides 16523 without a remainder.

1, 13, 31, 41, 403, 533, 1271

Step-4: Factors of 16540

List of positive integer factors of 16540 that divides 16523 without a remainder.

1, 2, 4, 5, 10, 20, 827, 1654, 3308, 4135, 8270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16523 and 16540. The biggest common factor number is the GCF number.
So the greatest common factor 16523 and 16540 is 1.

Also check out the Least Common Multiple of 16523 and 16540