What is the Greatest Common Factor of 18048 and 18057?

Greatest common factor (GCF) of 18048 and 18057 is 3.

GCF(18048,18057) = 3

We will now calculate the prime factors of 18048 and 18057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18048 and 18057.

How to find the GCF of 18048 and 18057?

We will first find the prime factorization of 18048 and 18057. After we will calculate the factors of 18048 and 18057 and find the biggest common factor number .

Step-1: Prime Factorization of 18048

Prime factors of 18048 are 2, 3, 47. Prime factorization of 18048 in exponential form is:

18048 = 2⁷ × 3¹ × 47¹

Step-2: Prime Factorization of 18057

Prime factors of 18057 are 3, 13, 463. Prime factorization of 18057 in exponential form is:

18057 = 3¹ × 13¹ × 463¹

Step-3: Factors of 18048

List of positive integer factors of 18048 that divides 18048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128, 141, 188, 192, 282, 376, 384, 564, 752, 1128, 1504, 2256, 3008, 4512, 6016, 9024

Step-4: Factors of 18057

List of positive integer factors of 18057 that divides 18048 without a remainder.

1, 3, 13, 39, 463, 1389, 6019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18048 and 18057. The biggest common factor number is the GCF number.
So the greatest common factor 18048 and 18057 is 3.

Also check out the Least Common Multiple of 18048 and 18057