What is the Greatest Common Factor of 36543 and 36548?

Greatest common factor (GCF) of 36543 and 36548 is 1.

GCF(36543,36548) = 1

We will now calculate the prime factors of 36543 and 36548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36543 and 36548.

How to find the GCF of 36543 and 36548?

We will first find the prime factorization of 36543 and 36548. After we will calculate the factors of 36543 and 36548 and find the biggest common factor number .

Step-1: Prime Factorization of 36543

Prime factors of 36543 are 3, 13, 937. Prime factorization of 36543 in exponential form is:

36543 = 3¹ × 13¹ × 937¹

Step-2: Prime Factorization of 36548

Prime factors of 36548 are 2, 9137. Prime factorization of 36548 in exponential form is:

36548 = 2² × 9137¹

Step-3: Factors of 36543

List of positive integer factors of 36543 that divides 36543 without a remainder.

1, 3, 13, 39, 937, 2811, 12181

Step-4: Factors of 36548

List of positive integer factors of 36548 that divides 36543 without a remainder.

1, 2, 4, 9137, 18274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36543 and 36548. The biggest common factor number is the GCF number.
So the greatest common factor 36543 and 36548 is 1.

Also check out the Least Common Multiple of 36543 and 36548