What is the Greatest Common Factor of 7572 and 7584?

Greatest common factor (GCF) of 7572 and 7584 is 12.

GCF(7572,7584) = 12

We will now calculate the prime factors of 7572 and 7584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7572 and 7584.

How to find the GCF of 7572 and 7584?

We will first find the prime factorization of 7572 and 7584. After we will calculate the factors of 7572 and 7584 and find the biggest common factor number .

Step-1: Prime Factorization of 7572

Prime factors of 7572 are 2, 3, 631. Prime factorization of 7572 in exponential form is:

7572 = 2² × 3¹ × 631¹

Step-2: 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-3: Factors of 7572

List of positive integer factors of 7572 that divides 7572 without a remainder.

1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786

Step-4: Factors of 7584

List of positive integer factors of 7584 that divides 7572 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7572 and 7584. The biggest common factor number is the GCF number.
So the greatest common factor 7572 and 7584 is 12.

Also check out the Least Common Multiple of 7572 and 7584