What is the Greatest Common Factor of 24045 and 24052?

Greatest common factor (GCF) of 24045 and 24052 is 7.

GCF(24045,24052) = 7

We will now calculate the prime factors of 24045 and 24052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24045 and 24052.

How to find the GCF of 24045 and 24052?

We will first find the prime factorization of 24045 and 24052. After we will calculate the factors of 24045 and 24052 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 24052

Prime factors of 24052 are 2, 7, 859. Prime factorization of 24052 in exponential form is:

24052 = 2² × 7¹ × 859¹

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 24052

List of positive integer factors of 24052 that divides 24045 without a remainder.

1, 2, 4, 7, 14, 28, 859, 1718, 3436, 6013, 12026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24045 and 24052. The biggest common factor number is the GCF number.
So the greatest common factor 24045 and 24052 is 7.

Also check out the Least Common Multiple of 24045 and 24052