What is the Greatest Common Factor of 7544 and 7549?

Greatest common factor (GCF) of 7544 and 7549 is 1.

GCF(7544,7549) = 1

We will now calculate the prime factors of 7544 and 7549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7544 and 7549.

How to find the GCF of 7544 and 7549?

We will first find the prime factorization of 7544 and 7549. After we will calculate the factors of 7544 and 7549 and find the biggest common factor number .

Step-1: Prime Factorization of 7544

Prime factors of 7544 are 2, 23, 41. Prime factorization of 7544 in exponential form is:

7544 = 2³ × 23¹ × 41¹

Step-2: Prime Factorization of 7549

Prime factors of 7549 are 7549. Prime factorization of 7549 in exponential form is:

7549 = 7549¹

Step-3: Factors of 7544

List of positive integer factors of 7544 that divides 7544 without a remainder.

1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772

Step-4: Factors of 7549

List of positive integer factors of 7549 that divides 7544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7544 and 7549. The biggest common factor number is the GCF number.
So the greatest common factor 7544 and 7549 is 1.

Also check out the Least Common Multiple of 7544 and 7549