What is the Greatest Common Factor of 35523 and 35535?

Greatest common factor (GCF) of 35523 and 35535 is 3.

GCF(35523,35535) = 3

We will now calculate the prime factors of 35523 and 35535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35523 and 35535.

How to find the GCF of 35523 and 35535?

We will first find the prime factorization of 35523 and 35535. After we will calculate the factors of 35523 and 35535 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 35535

Prime factors of 35535 are 3, 5, 23, 103. Prime factorization of 35535 in exponential form is:

35535 = 3¹ × 5¹ × 23¹ × 103¹

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 35535

List of positive integer factors of 35535 that divides 35523 without a remainder.

1, 3, 5, 15, 23, 69, 103, 115, 309, 345, 515, 1545, 2369, 7107, 11845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35523 and 35535. The biggest common factor number is the GCF number.
So the greatest common factor 35523 and 35535 is 3.

Also check out the Least Common Multiple of 35523 and 35535