What is the Greatest Common Factor of 18048 and 18058?

Greatest common factor (GCF) of 18048 and 18058 is 2.

GCF(18048,18058) = 2

We will now calculate the prime factors of 18048 and 18058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18048 and 18058.

How to find the GCF of 18048 and 18058?

We will first find the prime factorization of 18048 and 18058. After we will calculate the factors of 18048 and 18058 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 18058

Prime factors of 18058 are 2, 9029. Prime factorization of 18058 in exponential form is:

18058 = 2¹ × 9029¹

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 18058

List of positive integer factors of 18058 that divides 18048 without a remainder.

1, 2, 9029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18048 and 18058. The biggest common factor number is the GCF number.
So the greatest common factor 18048 and 18058 is 2.

Also check out the Least Common Multiple of 18048 and 18058