What is the Greatest Common Factor of 7584 and 7593?

Greatest common factor (GCF) of 7584 and 7593 is 3.

GCF(7584,7593) = 3

We will now calculate the prime factors of 7584 and 7593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7584 and 7593.

How to find the GCF of 7584 and 7593?

We will first find the prime factorization of 7584 and 7593. After we will calculate the factors of 7584 and 7593 and find the biggest common factor number .

Step-1: Prime Factorization of 7584

Prime factors of 7584 are 2, 3, 79. Prime factorization of 7584 in exponential form is:

7584 = 2⁵ × 3¹ × 79¹

Step-2: Prime Factorization of 7593

Prime factors of 7593 are 3, 2531. Prime factorization of 7593 in exponential form is:

7593 = 3¹ × 2531¹

Step-3: Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792

Step-4: Factors of 7593

List of positive integer factors of 7593 that divides 7584 without a remainder.

1, 3, 2531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7584 and 7593. The biggest common factor number is the GCF number.
So the greatest common factor 7584 and 7593 is 3.

Also check out the Least Common Multiple of 7584 and 7593