What is the Greatest Common Factor of 71541 and 71559?

Greatest common factor (GCF) of 71541 and 71559 is 9.

GCF(71541,71559) = 9

We will now calculate the prime factors of 71541 and 71559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71541 and 71559.

How to find the GCF of 71541 and 71559?

We will first find the prime factorization of 71541 and 71559. After we will calculate the factors of 71541 and 71559 and find the biggest common factor number .

Step-1: Prime Factorization of 71541

Prime factors of 71541 are 3, 7949. Prime factorization of 71541 in exponential form is:

71541 = 3² × 7949¹

Step-2: Prime Factorization of 71559

Prime factors of 71559 are 3, 7951. Prime factorization of 71559 in exponential form is:

71559 = 3² × 7951¹

Step-3: Factors of 71541

List of positive integer factors of 71541 that divides 71541 without a remainder.

1, 3, 9, 7949, 23847

Step-4: Factors of 71559

List of positive integer factors of 71559 that divides 71541 without a remainder.

1, 3, 9, 7951, 23853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71541 and 71559. The biggest common factor number is the GCF number.
So the greatest common factor 71541 and 71559 is 9.

Also check out the Least Common Multiple of 71541 and 71559