What is the Greatest Common Factor of 75543 and 75556?

Greatest common factor (GCF) of 75543 and 75556 is 13.

GCF(75543,75556) = 13

We will now calculate the prime factors of 75543 and 75556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75543 and 75556.

How to find the GCF of 75543 and 75556?

We will first find the prime factorization of 75543 and 75556. After we will calculate the factors of 75543 and 75556 and find the biggest common factor number .

Step-1: Prime Factorization of 75543

Prime factors of 75543 are 3, 13, 149. Prime factorization of 75543 in exponential form is:

75543 = 3¹ × 13² × 149¹

Step-2: Prime Factorization of 75556

Prime factors of 75556 are 2, 13, 1453. Prime factorization of 75556 in exponential form is:

75556 = 2² × 13¹ × 1453¹

Step-3: Factors of 75543

List of positive integer factors of 75543 that divides 75543 without a remainder.

1, 3, 13, 39, 149, 169, 447, 507, 1937, 5811, 25181

Step-4: Factors of 75556

List of positive integer factors of 75556 that divides 75543 without a remainder.

1, 2, 4, 13, 26, 52, 1453, 2906, 5812, 18889, 37778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75543 and 75556. The biggest common factor number is the GCF number.
So the greatest common factor 75543 and 75556 is 13.

Also check out the Least Common Multiple of 75543 and 75556