What is the Greatest Common Factor of 36411 and 36429?

Greatest common factor (GCF) of 36411 and 36429 is 3.

GCF(36411,36429) = 3

We will now calculate the prime factors of 36411 and 36429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36411 and 36429.

How to find the GCF of 36411 and 36429?

We will first find the prime factorization of 36411 and 36429. After we will calculate the factors of 36411 and 36429 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 36429

Prime factors of 36429 are 3, 12143. Prime factorization of 36429 in exponential form is:

36429 = 3¹ × 12143¹

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 36429

List of positive integer factors of 36429 that divides 36411 without a remainder.

1, 3, 12143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36411 and 36429. The biggest common factor number is the GCF number.
So the greatest common factor 36411 and 36429 is 3.

Also check out the Least Common Multiple of 36411 and 36429