What is the Greatest Common Factor of 16496 and 16510?

Greatest common factor (GCF) of 16496 and 16510 is 2.

GCF(16496,16510) = 2

We will now calculate the prime factors of 16496 and 16510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16496 and 16510.

How to find the GCF of 16496 and 16510?

We will first find the prime factorization of 16496 and 16510. After we will calculate the factors of 16496 and 16510 and find the biggest common factor number .

Step-1: Prime Factorization of 16496

Prime factors of 16496 are 2, 1031. Prime factorization of 16496 in exponential form is:

16496 = 2⁴ × 1031¹

Step-2: Prime Factorization of 16510

Prime factors of 16510 are 2, 5, 13, 127. Prime factorization of 16510 in exponential form is:

16510 = 2¹ × 5¹ × 13¹ × 127¹

Step-3: Factors of 16496

List of positive integer factors of 16496 that divides 16496 without a remainder.

1, 2, 4, 8, 16, 1031, 2062, 4124, 8248

Step-4: Factors of 16510

List of positive integer factors of 16510 that divides 16496 without a remainder.

1, 2, 5, 10, 13, 26, 65, 127, 130, 254, 635, 1270, 1651, 3302, 8255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16496 and 16510. The biggest common factor number is the GCF number.
So the greatest common factor 16496 and 16510 is 2.

Also check out the Least Common Multiple of 16496 and 16510