What is the Greatest Common Factor of 59541 and 59547?

Greatest common factor (GCF) of 59541 and 59547 is 3.

GCF(59541,59547) = 3

We will now calculate the prime factors of 59541 and 59547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59541 and 59547.

How to find the GCF of 59541 and 59547?

We will first find the prime factorization of 59541 and 59547. After we will calculate the factors of 59541 and 59547 and find the biggest common factor number .

Step-1: Prime Factorization of 59541

Prime factors of 59541 are 3, 89, 223. Prime factorization of 59541 in exponential form is:

59541 = 3¹ × 89¹ × 223¹

Step-2: Prime Factorization of 59547

Prime factors of 59547 are 3, 23, 863. Prime factorization of 59547 in exponential form is:

59547 = 3¹ × 23¹ × 863¹

Step-3: Factors of 59541

List of positive integer factors of 59541 that divides 59541 without a remainder.

1, 3, 89, 223, 267, 669, 19847

Step-4: Factors of 59547

List of positive integer factors of 59547 that divides 59541 without a remainder.

1, 3, 23, 69, 863, 2589, 19849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59541 and 59547. The biggest common factor number is the GCF number.
So the greatest common factor 59541 and 59547 is 3.

Also check out the Least Common Multiple of 59541 and 59547