What is the Greatest Common Factor of 16646 and 16660?

Greatest common factor (GCF) of 16646 and 16660 is 14.

GCF(16646,16660) = 14

We will now calculate the prime factors of 16646 and 16660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16646 and 16660.

How to find the GCF of 16646 and 16660?

We will first find the prime factorization of 16646 and 16660. After we will calculate the factors of 16646 and 16660 and find the biggest common factor number .

Step-1: Prime Factorization of 16646

Prime factors of 16646 are 2, 7, 29, 41. Prime factorization of 16646 in exponential form is:

16646 = 2¹ × 7¹ × 29¹ × 41¹

Step-2: Prime Factorization of 16660

Prime factors of 16660 are 2, 5, 7, 17. Prime factorization of 16660 in exponential form is:

16660 = 2² × 5¹ × 7² × 17¹

Step-3: Factors of 16646

List of positive integer factors of 16646 that divides 16646 without a remainder.

1, 2, 7, 14, 29, 41, 58, 82, 203, 287, 406, 574, 1189, 2378, 8323

Step-4: Factors of 16660

List of positive integer factors of 16660 that divides 16646 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 49, 68, 70, 85, 98, 119, 140, 170, 196, 238, 245, 340, 476, 490, 595, 833, 980, 1190, 1666, 2380, 3332, 4165, 8330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16646 and 16660. The biggest common factor number is the GCF number.
So the greatest common factor 16646 and 16660 is 14.

Also check out the Least Common Multiple of 16646 and 16660