What is the Greatest Common Factor of 18039 and 18048?

Greatest common factor (GCF) of 18039 and 18048 is 3.

GCF(18039,18048) = 3

We will now calculate the prime factors of 18039 and 18048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18039 and 18048.

How to find the GCF of 18039 and 18048?

We will first find the prime factorization of 18039 and 18048. After we will calculate the factors of 18039 and 18048 and find the biggest common factor number .

Step-1: Prime Factorization of 18039

Prime factors of 18039 are 3, 7, 859. Prime factorization of 18039 in exponential form is:

18039 = 3¹ × 7¹ × 859¹

Step-2: 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-3: Factors of 18039

List of positive integer factors of 18039 that divides 18039 without a remainder.

1, 3, 7, 21, 859, 2577, 6013

Step-4: Factors of 18048

List of positive integer factors of 18048 that divides 18039 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18039 and 18048. The biggest common factor number is the GCF number.
So the greatest common factor 18039 and 18048 is 3.

Also check out the Least Common Multiple of 18039 and 18048