What is the Greatest Common Factor of 35523 and 35541?

Greatest common factor (GCF) of 35523 and 35541 is 9.

GCF(35523,35541) = 9

We will now calculate the prime factors of 35523 and 35541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35523 and 35541.

How to find the GCF of 35523 and 35541?

We will first find the prime factorization of 35523 and 35541. After we will calculate the factors of 35523 and 35541 and find the biggest common factor number .

Step-1: Prime Factorization of 35523

Prime factors of 35523 are 3, 3947. Prime factorization of 35523 in exponential form is:

35523 = 3² × 3947¹

Step-2: 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-3: Factors of 35523

List of positive integer factors of 35523 that divides 35523 without a remainder.

1, 3, 9, 3947, 11841

Step-4: Factors of 35541

List of positive integer factors of 35541 that divides 35523 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35523 and 35541. The biggest common factor number is the GCF number.
So the greatest common factor 35523 and 35541 is 9.

Also check out the Least Common Multiple of 35523 and 35541