What is the Greatest Common Factor of 35541 and 35559?

Greatest common factor (GCF) of 35541 and 35559 is 9.

GCF(35541,35559) = 9

We will now calculate the prime factors of 35541 and 35559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35541 and 35559.

How to find the GCF of 35541 and 35559?

We will first find the prime factorization of 35541 and 35559. After we will calculate the factors of 35541 and 35559 and find the biggest common factor number .

Step-1: Prime Factorization of 35541

Prime factors of 35541 are 3, 11, 359. Prime factorization of 35541 in exponential form is:

35541 = 3² × 11¹ × 359¹

Step-2: Prime Factorization of 35559

Prime factors of 35559 are 3, 439. Prime factorization of 35559 in exponential form is:

35559 = 3⁴ × 439¹

Step-3: Factors of 35541

List of positive integer factors of 35541 that divides 35541 without a remainder.

1, 3, 9, 11, 33, 99, 359, 1077, 3231, 3949, 11847

Step-4: Factors of 35559

List of positive integer factors of 35559 that divides 35541 without a remainder.

1, 3, 9, 27, 81, 439, 1317, 3951, 11853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35541 and 35559. The biggest common factor number is the GCF number.
So the greatest common factor 35541 and 35559 is 9.

Also check out the Least Common Multiple of 35541 and 35559