What is the Greatest Common Factor of 7533 and 7548?

Greatest common factor (GCF) of 7533 and 7548 is 3.

GCF(7533,7548) = 3

We will now calculate the prime factors of 7533 and 7548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7533 and 7548.

How to find the GCF of 7533 and 7548?

We will first find the prime factorization of 7533 and 7548. After we will calculate the factors of 7533 and 7548 and find the biggest common factor number .

Step-1: Prime Factorization of 7533

Prime factors of 7533 are 3, 31. Prime factorization of 7533 in exponential form is:

7533 = 3⁵ × 31¹

Step-2: Prime Factorization of 7548

Prime factors of 7548 are 2, 3, 17, 37. Prime factorization of 7548 in exponential form is:

7548 = 2² × 3¹ × 17¹ × 37¹

Step-3: Factors of 7533

List of positive integer factors of 7533 that divides 7533 without a remainder.

1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511

Step-4: Factors of 7548

List of positive integer factors of 7548 that divides 7533 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7533 and 7548. The biggest common factor number is the GCF number.
So the greatest common factor 7533 and 7548 is 3.

Also check out the Least Common Multiple of 7533 and 7548