What is the Greatest Common Factor of 24045 and 24059?

Greatest common factor (GCF) of 24045 and 24059 is 7.

GCF(24045,24059) = 7

We will now calculate the prime factors of 24045 and 24059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24045 and 24059.

How to find the GCF of 24045 and 24059?

We will first find the prime factorization of 24045 and 24059. After we will calculate the factors of 24045 and 24059 and find the biggest common factor number .

Step-1: Prime Factorization of 24045

Prime factors of 24045 are 3, 5, 7, 229. Prime factorization of 24045 in exponential form is:

24045 = 3¹ × 5¹ × 7¹ × 229¹

Step-2: Prime Factorization of 24059

Prime factors of 24059 are 7, 491. Prime factorization of 24059 in exponential form is:

24059 = 7² × 491¹

Step-3: Factors of 24045

List of positive integer factors of 24045 that divides 24045 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 229, 687, 1145, 1603, 3435, 4809, 8015

Step-4: Factors of 24059

List of positive integer factors of 24059 that divides 24045 without a remainder.

1, 7, 49, 491, 3437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24045 and 24059. The biggest common factor number is the GCF number.
So the greatest common factor 24045 and 24059 is 7.

Also check out the Least Common Multiple of 24045 and 24059