What is the Greatest Common Factor of 36429 and 36444?

Greatest common factor (GCF) of 36429 and 36444 is 3.

GCF(36429,36444) = 3

We will now calculate the prime factors of 36429 and 36444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36429 and 36444.

How to find the GCF of 36429 and 36444?

We will first find the prime factorization of 36429 and 36444. After we will calculate the factors of 36429 and 36444 and find the biggest common factor number .

Step-1: Prime Factorization of 36429

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

36429 = 3¹ × 12143¹

Step-2: Prime Factorization of 36444

Prime factors of 36444 are 2, 3, 3037. Prime factorization of 36444 in exponential form is:

36444 = 2² × 3¹ × 3037¹

Step-3: Factors of 36429

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

1, 3, 12143

Step-4: Factors of 36444

List of positive integer factors of 36444 that divides 36429 without a remainder.

1, 2, 3, 4, 6, 12, 3037, 6074, 9111, 12148, 18222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36429 and 36444. The biggest common factor number is the GCF number.
So the greatest common factor 36429 and 36444 is 3.

Also check out the Least Common Multiple of 36429 and 36444