What is the Greatest Common Factor of 16614 and 16628?

Greatest common factor (GCF) of 16614 and 16628 is 2.

GCF(16614,16628) = 2

We will now calculate the prime factors of 16614 and 16628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16614 and 16628.

How to find the GCF of 16614 and 16628?

We will first find the prime factorization of 16614 and 16628. After we will calculate the factors of 16614 and 16628 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 16628

Prime factors of 16628 are 2, 4157. Prime factorization of 16628 in exponential form is:

16628 = 2² × 4157¹

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 16628

List of positive integer factors of 16628 that divides 16614 without a remainder.

1, 2, 4, 4157, 8314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16614 and 16628. The biggest common factor number is the GCF number.
So the greatest common factor 16614 and 16628 is 2.

Also check out the Least Common Multiple of 16614 and 16628