What is the Greatest Common Factor of 18546 and 18564?

Greatest common factor (GCF) of 18546 and 18564 is 6.

GCF(18546,18564) = 6

We will now calculate the prime factors of 18546 and 18564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18546 and 18564.

How to find the GCF of 18546 and 18564?

We will first find the prime factorization of 18546 and 18564. After we will calculate the factors of 18546 and 18564 and find the biggest common factor number .

Step-1: Prime Factorization of 18546

Prime factors of 18546 are 2, 3, 11, 281. Prime factorization of 18546 in exponential form is:

18546 = 2¹ × 3¹ × 11¹ × 281¹

Step-2: Prime Factorization of 18564

Prime factors of 18564 are 2, 3, 7, 13, 17. Prime factorization of 18564 in exponential form is:

18564 = 2² × 3¹ × 7¹ × 13¹ × 17¹

Step-3: Factors of 18546

List of positive integer factors of 18546 that divides 18546 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 281, 562, 843, 1686, 3091, 6182, 9273

Step-4: Factors of 18564

List of positive integer factors of 18564 that divides 18546 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 17, 21, 26, 28, 34, 39, 42, 51, 52, 68, 78, 84, 91, 102, 119, 156, 182, 204, 221, 238, 273, 357, 364, 442, 476, 546, 663, 714, 884, 1092, 1326, 1428, 1547, 2652, 3094, 4641, 6188, 9282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18546 and 18564. The biggest common factor number is the GCF number.
So the greatest common factor 18546 and 18564 is 6.

Also check out the Least Common Multiple of 18546 and 18564