What is the Greatest Common Factor of 16627 and 16636?

Greatest common factor (GCF) of 16627 and 16636 is 1.

GCF(16627,16636) = 1

We will now calculate the prime factors of 16627 and 16636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16627 and 16636.

How to find the GCF of 16627 and 16636?

We will first find the prime factorization of 16627 and 16636. After we will calculate the factors of 16627 and 16636 and find the biggest common factor number .

Step-1: Prime Factorization of 16627

Prime factors of 16627 are 13, 1279. Prime factorization of 16627 in exponential form is:

16627 = 13¹ × 1279¹

Step-2: Prime Factorization of 16636

Prime factors of 16636 are 2, 4159. Prime factorization of 16636 in exponential form is:

16636 = 2² × 4159¹

Step-3: Factors of 16627

List of positive integer factors of 16627 that divides 16627 without a remainder.

1, 13, 1279

Step-4: Factors of 16636

List of positive integer factors of 16636 that divides 16627 without a remainder.

1, 2, 4, 4159, 8318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16627 and 16636. The biggest common factor number is the GCF number.
So the greatest common factor 16627 and 16636 is 1.

Also check out the Least Common Multiple of 16627 and 16636