What is the Greatest Common Factor of 16614 and 16627?

Greatest common factor (GCF) of 16614 and 16627 is 13.

GCF(16614,16627) = 13

We will now calculate the prime factors of 16614 and 16627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16614 and 16627.

How to find the GCF of 16614 and 16627?

We will first find the prime factorization of 16614 and 16627. After we will calculate the factors of 16614 and 16627 and find the biggest common factor number .

Step-1: Prime Factorization of 16614

Prime factors of 16614 are 2, 3, 13, 71. Prime factorization of 16614 in exponential form is:

16614 = 2¹ × 3² × 13¹ × 71¹

Step-2: Prime Factorization of 16627

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

16627 = 13¹ × 1279¹

Step-3: Factors of 16614

List of positive integer factors of 16614 that divides 16614 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 71, 78, 117, 142, 213, 234, 426, 639, 923, 1278, 1846, 2769, 5538, 8307

Step-4: Factors of 16627

List of positive integer factors of 16627 that divides 16614 without a remainder.

1, 13, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16614 and 16627. The biggest common factor number is the GCF number.
So the greatest common factor 16614 and 16627 is 13.

Also check out the Least Common Multiple of 16614 and 16627