What is the Greatest Common Factor of 13005 and 13024?

Greatest common factor (GCF) of 13005 and 13024 is 1.

GCF(13005,13024) = 1

We will now calculate the prime factors of 13005 and 13024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13005 and 13024.

How to find the GCF of 13005 and 13024?

We will first find the prime factorization of 13005 and 13024. After we will calculate the factors of 13005 and 13024 and find the biggest common factor number .

Step-1: Prime Factorization of 13005

Prime factors of 13005 are 3, 5, 17. Prime factorization of 13005 in exponential form is:

13005 = 3² × 5¹ × 17²

Step-2: Prime Factorization of 13024

Prime factors of 13024 are 2, 11, 37. Prime factorization of 13024 in exponential form is:

13024 = 2⁵ × 11¹ × 37¹

Step-3: Factors of 13005

List of positive integer factors of 13005 that divides 13005 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 289, 765, 867, 1445, 2601, 4335

Step-4: Factors of 13024

List of positive integer factors of 13024 that divides 13005 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 74, 88, 148, 176, 296, 352, 407, 592, 814, 1184, 1628, 3256, 6512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13005 and 13024. The biggest common factor number is the GCF number.
So the greatest common factor 13005 and 13024 is 1.

Also check out the Least Common Multiple of 13005 and 13024