What is the Greatest Common Factor of 36892 and 36909?

Greatest common factor (GCF) of 36892 and 36909 is 1.

GCF(36892,36909) = 1

We will now calculate the prime factors of 36892 and 36909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36892 and 36909.

How to find the GCF of 36892 and 36909?

We will first find the prime factorization of 36892 and 36909. After we will calculate the factors of 36892 and 36909 and find the biggest common factor number .

Step-1: Prime Factorization of 36892

Prime factors of 36892 are 2, 23, 401. Prime factorization of 36892 in exponential form is:

36892 = 2² × 23¹ × 401¹

Step-2: Prime Factorization of 36909

Prime factors of 36909 are 3, 1367. Prime factorization of 36909 in exponential form is:

36909 = 3³ × 1367¹

Step-3: Factors of 36892

List of positive integer factors of 36892 that divides 36892 without a remainder.

1, 2, 4, 23, 46, 92, 401, 802, 1604, 9223, 18446

Step-4: Factors of 36909

List of positive integer factors of 36909 that divides 36892 without a remainder.

1, 3, 9, 27, 1367, 4101, 12303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36892 and 36909. The biggest common factor number is the GCF number.
So the greatest common factor 36892 and 36909 is 1.

Also check out the Least Common Multiple of 36892 and 36909