What is the Greatest Common Factor of 7544 and 7556?

Greatest common factor (GCF) of 7544 and 7556 is 4.

GCF(7544,7556) = 4

We will now calculate the prime factors of 7544 and 7556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7544 and 7556.

How to find the GCF of 7544 and 7556?

We will first find the prime factorization of 7544 and 7556. After we will calculate the factors of 7544 and 7556 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 7556

Prime factors of 7556 are 2, 1889. Prime factorization of 7556 in exponential form is:

7556 = 2² × 1889¹

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 7556

List of positive integer factors of 7556 that divides 7544 without a remainder.

1, 2, 4, 1889, 3778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7544 and 7556. The biggest common factor number is the GCF number.
So the greatest common factor 7544 and 7556 is 4.

Also check out the Least Common Multiple of 7544 and 7556