What is the Greatest Common Factor of 36741 and 36749?

Greatest common factor (GCF) of 36741 and 36749 is 1.

GCF(36741,36749) = 1

We will now calculate the prime factors of 36741 and 36749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36741 and 36749.

How to find the GCF of 36741 and 36749?

We will first find the prime factorization of 36741 and 36749. After we will calculate the factors of 36741 and 36749 and find the biggest common factor number .

Step-1: Prime Factorization of 36741

Prime factors of 36741 are 3, 37, 331. Prime factorization of 36741 in exponential form is:

36741 = 3¹ × 37¹ × 331¹

Step-2: Prime Factorization of 36749

Prime factors of 36749 are 36749. Prime factorization of 36749 in exponential form is:

36749 = 36749¹

Step-3: Factors of 36741

List of positive integer factors of 36741 that divides 36741 without a remainder.

1, 3, 37, 111, 331, 993, 12247

Step-4: Factors of 36749

List of positive integer factors of 36749 that divides 36741 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36741 and 36749. The biggest common factor number is the GCF number.
So the greatest common factor 36741 and 36749 is 1.

Also check out the Least Common Multiple of 36741 and 36749