What is the Greatest Common Factor of 18039 and 18053?

Greatest common factor (GCF) of 18039 and 18053 is 7.

GCF(18039,18053) = 7

We will now calculate the prime factors of 18039 and 18053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18039 and 18053.

How to find the GCF of 18039 and 18053?

We will first find the prime factorization of 18039 and 18053. After we will calculate the factors of 18039 and 18053 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 18053

Prime factors of 18053 are 7, 2579. Prime factorization of 18053 in exponential form is:

18053 = 7¹ × 2579¹

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 18053

List of positive integer factors of 18053 that divides 18039 without a remainder.

1, 7, 2579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18039 and 18053. The biggest common factor number is the GCF number.
So the greatest common factor 18039 and 18053 is 7.

Also check out the Least Common Multiple of 18039 and 18053