What is the Greatest Common Factor of 36849 and 36865?

Greatest common factor (GCF) of 36849 and 36865 is 1.

GCF(36849,36865) = 1

We will now calculate the prime factors of 36849 and 36865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36849 and 36865.

How to find the GCF of 36849 and 36865?

We will first find the prime factorization of 36849 and 36865. After we will calculate the factors of 36849 and 36865 and find the biggest common factor number .

Step-1: Prime Factorization of 36849

Prime factors of 36849 are 3, 71, 173. Prime factorization of 36849 in exponential form is:

36849 = 3¹ × 71¹ × 173¹

Step-2: Prime Factorization of 36865

Prime factors of 36865 are 5, 73, 101. Prime factorization of 36865 in exponential form is:

36865 = 5¹ × 73¹ × 101¹

Step-3: Factors of 36849

List of positive integer factors of 36849 that divides 36849 without a remainder.

1, 3, 71, 173, 213, 519, 12283

Step-4: Factors of 36865

List of positive integer factors of 36865 that divides 36849 without a remainder.

1, 5, 73, 101, 365, 505, 7373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36849 and 36865. The biggest common factor number is the GCF number.
So the greatest common factor 36849 and 36865 is 1.

Also check out the Least Common Multiple of 36849 and 36865