What is the Greatest Common Factor of 66537 and 66543?

Greatest common factor (GCF) of 66537 and 66543 is 3.

GCF(66537,66543) = 3

We will now calculate the prime factors of 66537 and 66543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66537 and 66543.

How to find the GCF of 66537 and 66543?

We will first find the prime factorization of 66537 and 66543. After we will calculate the factors of 66537 and 66543 and find the biggest common factor number .

Step-1: Prime Factorization of 66537

Prime factors of 66537 are 3, 7393. Prime factorization of 66537 in exponential form is:

66537 = 3² × 7393¹

Step-2: Prime Factorization of 66543

Prime factors of 66543 are 3, 41, 541. Prime factorization of 66543 in exponential form is:

66543 = 3¹ × 41¹ × 541¹

Step-3: Factors of 66537

List of positive integer factors of 66537 that divides 66537 without a remainder.

1, 3, 9, 7393, 22179

Step-4: Factors of 66543

List of positive integer factors of 66543 that divides 66537 without a remainder.

1, 3, 41, 123, 541, 1623, 22181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66537 and 66543. The biggest common factor number is the GCF number.
So the greatest common factor 66537 and 66543 is 3.

Also check out the Least Common Multiple of 66537 and 66543