What is the Greatest Common Factor of 16617 and 16632?

Greatest common factor (GCF) of 16617 and 16632 is 3.

GCF(16617,16632) = 3

We will now calculate the prime factors of 16617 and 16632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16617 and 16632.

How to find the GCF of 16617 and 16632?

We will first find the prime factorization of 16617 and 16632. After we will calculate the factors of 16617 and 16632 and find the biggest common factor number .

Step-1: Prime Factorization of 16617

Prime factors of 16617 are 3, 29, 191. Prime factorization of 16617 in exponential form is:

16617 = 3¹ × 29¹ × 191¹

Step-2: Prime Factorization of 16632

Prime factors of 16632 are 2, 3, 7, 11. Prime factorization of 16632 in exponential form is:

16632 = 2³ × 3³ × 7¹ × 11¹

Step-3: Factors of 16617

List of positive integer factors of 16617 that divides 16617 without a remainder.

1, 3, 29, 87, 191, 573, 5539

Step-4: Factors of 16632

List of positive integer factors of 16632 that divides 16617 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 54, 56, 63, 66, 72, 77, 84, 88, 99, 108, 126, 132, 154, 168, 189, 198, 216, 231, 252, 264, 297, 308, 378, 396, 462, 504, 594, 616, 693, 756, 792, 924, 1188, 1386, 1512, 1848, 2079, 2376, 2772, 4158, 5544, 8316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16617 and 16632. The biggest common factor number is the GCF number.
So the greatest common factor 16617 and 16632 is 3.

Also check out the Least Common Multiple of 16617 and 16632