What is the Greatest Common Factor of 36873 and 36890?

Greatest common factor (GCF) of 36873 and 36890 is 17.

GCF(36873,36890) = 17

We will now calculate the prime factors of 36873 and 36890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36873 and 36890.

How to find the GCF of 36873 and 36890?

We will first find the prime factorization of 36873 and 36890. After we will calculate the factors of 36873 and 36890 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 36890

Prime factors of 36890 are 2, 5, 7, 17, 31. Prime factorization of 36890 in exponential form is:

36890 = 2¹ × 5¹ × 7¹ × 17¹ × 31¹

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 36890

List of positive integer factors of 36890 that divides 36873 without a remainder.

1, 2, 5, 7, 10, 14, 17, 31, 34, 35, 62, 70, 85, 119, 155, 170, 217, 238, 310, 434, 527, 595, 1054, 1085, 1190, 2170, 2635, 3689, 5270, 7378, 18445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36873 and 36890. The biggest common factor number is the GCF number.
So the greatest common factor 36873 and 36890 is 17.

Also check out the Least Common Multiple of 36873 and 36890