What is the Greatest Common Factor of 36873 and 36883?

Greatest common factor (GCF) of 36873 and 36883 is 1.

GCF(36873,36883) = 1

We will now calculate the prime factors of 36873 and 36883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36873 and 36883.

How to find the GCF of 36873 and 36883?

We will first find the prime factorization of 36873 and 36883. After we will calculate the factors of 36873 and 36883 and find the biggest common factor number .

Step-1: Prime Factorization of 36873

Prime factors of 36873 are 3, 17, 241. Prime factorization of 36873 in exponential form is:

36873 = 3² × 17¹ × 241¹

Step-2: Prime Factorization of 36883

Prime factors of 36883 are 7, 11, 479. Prime factorization of 36883 in exponential form is:

36883 = 7¹ × 11¹ × 479¹

Step-3: Factors of 36873

List of positive integer factors of 36873 that divides 36873 without a remainder.

1, 3, 9, 17, 51, 153, 241, 723, 2169, 4097, 12291

Step-4: Factors of 36883

List of positive integer factors of 36883 that divides 36873 without a remainder.

1, 7, 11, 77, 479, 3353, 5269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36873 and 36883. The biggest common factor number is the GCF number.
So the greatest common factor 36873 and 36883 is 1.

Also check out the Least Common Multiple of 36873 and 36883