What is the Greatest Common Factor of 36435 and 36441?

Greatest common factor (GCF) of 36435 and 36441 is 3.

GCF(36435,36441) = 3

We will now calculate the prime factors of 36435 and 36441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36435 and 36441.

How to find the GCF of 36435 and 36441?

We will first find the prime factorization of 36435 and 36441. After we will calculate the factors of 36435 and 36441 and find the biggest common factor number .

Step-1: Prime Factorization of 36435

Prime factors of 36435 are 3, 5, 7, 347. Prime factorization of 36435 in exponential form is:

36435 = 3¹ × 5¹ × 7¹ × 347¹

Step-2: Prime Factorization of 36441

Prime factors of 36441 are 3, 4049. Prime factorization of 36441 in exponential form is:

36441 = 3² × 4049¹

Step-3: Factors of 36435

List of positive integer factors of 36435 that divides 36435 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 347, 1041, 1735, 2429, 5205, 7287, 12145

Step-4: Factors of 36441

List of positive integer factors of 36441 that divides 36435 without a remainder.

1, 3, 9, 4049, 12147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36435 and 36441. The biggest common factor number is the GCF number.
So the greatest common factor 36435 and 36441 is 3.

Also check out the Least Common Multiple of 36435 and 36441