What is the Greatest Common Factor of 16646 and 16657?

Greatest common factor (GCF) of 16646 and 16657 is 1.

GCF(16646,16657) = 1

We will now calculate the prime factors of 16646 and 16657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16646 and 16657.

How to find the GCF of 16646 and 16657?

We will first find the prime factorization of 16646 and 16657. After we will calculate the factors of 16646 and 16657 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 16657

Prime factors of 16657 are 16657. Prime factorization of 16657 in exponential form is:

16657 = 16657¹

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 16657

List of positive integer factors of 16657 that divides 16646 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16646 and 16657. The biggest common factor number is the GCF number.
So the greatest common factor 16646 and 16657 is 1.

Also check out the Least Common Multiple of 16646 and 16657