What is the Greatest Common Factor of 36411 and 36417?

Greatest common factor (GCF) of 36411 and 36417 is 3.

GCF(36411,36417) = 3

We will now calculate the prime factors of 36411 and 36417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36411 and 36417.

How to find the GCF of 36411 and 36417?

We will first find the prime factorization of 36411 and 36417. After we will calculate the factors of 36411 and 36417 and find the biggest common factor number .

Step-1: Prime Factorization of 36411

Prime factors of 36411 are 3, 53, 229. Prime factorization of 36411 in exponential form is:

36411 = 3¹ × 53¹ × 229¹

Step-2: Prime Factorization of 36417

Prime factors of 36417 are 3, 61, 199. Prime factorization of 36417 in exponential form is:

36417 = 3¹ × 61¹ × 199¹

Step-3: Factors of 36411

List of positive integer factors of 36411 that divides 36411 without a remainder.

1, 3, 53, 159, 229, 687, 12137

Step-4: Factors of 36417

List of positive integer factors of 36417 that divides 36411 without a remainder.

1, 3, 61, 183, 199, 597, 12139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36411 and 36417. The biggest common factor number is the GCF number.
So the greatest common factor 36411 and 36417 is 3.

Also check out the Least Common Multiple of 36411 and 36417