What is the Greatest Common Factor of 18546 and 18552?

Greatest common factor (GCF) of 18546 and 18552 is 6.

GCF(18546,18552) = 6

We will now calculate the prime factors of 18546 and 18552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18546 and 18552.

How to find the GCF of 18546 and 18552?

We will first find the prime factorization of 18546 and 18552. After we will calculate the factors of 18546 and 18552 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 18552

Prime factors of 18552 are 2, 3, 773. Prime factorization of 18552 in exponential form is:

18552 = 2³ × 3¹ × 773¹

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 18552

List of positive integer factors of 18552 that divides 18546 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 773, 1546, 2319, 3092, 4638, 6184, 9276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18546 and 18552. The biggest common factor number is the GCF number.
So the greatest common factor 18546 and 18552 is 6.

Also check out the Least Common Multiple of 18546 and 18552