What is the Greatest Common Factor of 16614 and 16623?

Greatest common factor (GCF) of 16614 and 16623 is 9.

GCF(16614,16623) = 9

We will now calculate the prime factors of 16614 and 16623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16614 and 16623.

How to find the GCF of 16614 and 16623?

We will first find the prime factorization of 16614 and 16623. After we will calculate the factors of 16614 and 16623 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 16623

Prime factors of 16623 are 3, 1847. Prime factorization of 16623 in exponential form is:

16623 = 3² × 1847¹

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 16623

List of positive integer factors of 16623 that divides 16614 without a remainder.

1, 3, 9, 1847, 5541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16614 and 16623. The biggest common factor number is the GCF number.
So the greatest common factor 16614 and 16623 is 9.

Also check out the Least Common Multiple of 16614 and 16623