What is the Greatest Common Factor of 16506 and 16512?

Greatest common factor (GCF) of 16506 and 16512 is 6.

GCF(16506,16512) = 6

We will now calculate the prime factors of 16506 and 16512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16506 and 16512.

How to find the GCF of 16506 and 16512?

We will first find the prime factorization of 16506 and 16512. After we will calculate the factors of 16506 and 16512 and find the biggest common factor number .

Step-1: Prime Factorization of 16506

Prime factors of 16506 are 2, 3, 7, 131. Prime factorization of 16506 in exponential form is:

16506 = 2¹ × 3² × 7¹ × 131¹

Step-2: Prime Factorization of 16512

Prime factors of 16512 are 2, 3, 43. Prime factorization of 16512 in exponential form is:

16512 = 2⁷ × 3¹ × 43¹

Step-3: Factors of 16506

List of positive integer factors of 16506 that divides 16506 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 131, 262, 393, 786, 917, 1179, 1834, 2358, 2751, 5502, 8253

Step-4: Factors of 16512

List of positive integer factors of 16512 that divides 16506 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 128, 129, 172, 192, 258, 344, 384, 516, 688, 1032, 1376, 2064, 2752, 4128, 5504, 8256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16506 and 16512. The biggest common factor number is the GCF number.
So the greatest common factor 16506 and 16512 is 6.

Also check out the Least Common Multiple of 16506 and 16512