What is the Greatest Common Factor of 36673 and 36686?

Greatest common factor (GCF) of 36673 and 36686 is 13.

GCF(36673,36686) = 13

We will now calculate the prime factors of 36673 and 36686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36673 and 36686.

How to find the GCF of 36673 and 36686?

We will first find the prime factorization of 36673 and 36686. After we will calculate the factors of 36673 and 36686 and find the biggest common factor number .

Step-1: Prime Factorization of 36673

Prime factors of 36673 are 7, 13, 31. Prime factorization of 36673 in exponential form is:

36673 = 7¹ × 13² × 31¹

Step-2: Prime Factorization of 36686

Prime factors of 36686 are 2, 13, 17, 83. Prime factorization of 36686 in exponential form is:

36686 = 2¹ × 13¹ × 17¹ × 83¹

Step-3: Factors of 36673

List of positive integer factors of 36673 that divides 36673 without a remainder.

1, 7, 13, 31, 91, 169, 217, 403, 1183, 2821, 5239

Step-4: Factors of 36686

List of positive integer factors of 36686 that divides 36673 without a remainder.

1, 2, 13, 17, 26, 34, 83, 166, 221, 442, 1079, 1411, 2158, 2822, 18343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36673 and 36686. The biggest common factor number is the GCF number.
So the greatest common factor 36673 and 36686 is 13.

Also check out the Least Common Multiple of 36673 and 36686