What is the Greatest Common Factor of 7545 and 7563?

Greatest common factor (GCF) of 7545 and 7563 is 3.

GCF(7545,7563) = 3

We will now calculate the prime factors of 7545 and 7563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7545 and 7563.

How to find the GCF of 7545 and 7563?

We will first find the prime factorization of 7545 and 7563. After we will calculate the factors of 7545 and 7563 and find the biggest common factor number .

Step-1: Prime Factorization of 7545

Prime factors of 7545 are 3, 5, 503. Prime factorization of 7545 in exponential form is:

7545 = 3¹ × 5¹ × 503¹

Step-2: Prime Factorization of 7563

Prime factors of 7563 are 3, 2521. Prime factorization of 7563 in exponential form is:

7563 = 3¹ × 2521¹

Step-3: Factors of 7545

List of positive integer factors of 7545 that divides 7545 without a remainder.

1, 3, 5, 15, 503, 1509, 2515

Step-4: Factors of 7563

List of positive integer factors of 7563 that divides 7545 without a remainder.

1, 3, 2521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7545 and 7563. The biggest common factor number is the GCF number.
So the greatest common factor 7545 and 7563 is 3.

Also check out the Least Common Multiple of 7545 and 7563