What is the Greatest Common Factor of 75543 and 75558?

Greatest common factor (GCF) of 75543 and 75558 is 3.

GCF(75543,75558) = 3

We will now calculate the prime factors of 75543 and 75558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75543 and 75558.

How to find the GCF of 75543 and 75558?

We will first find the prime factorization of 75543 and 75558. After we will calculate the factors of 75543 and 75558 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 75558

Prime factors of 75558 are 2, 3, 7, 257. Prime factorization of 75558 in exponential form is:

75558 = 2¹ × 3¹ × 7² × 257¹

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 75558

List of positive integer factors of 75558 that divides 75543 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 257, 294, 514, 771, 1542, 1799, 3598, 5397, 10794, 12593, 25186, 37779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75543 and 75558. The biggest common factor number is the GCF number.
So the greatest common factor 75543 and 75558 is 3.

Also check out the Least Common Multiple of 75543 and 75558