What is the Greatest Common Factor of 36666 and 36673?

Greatest common factor (GCF) of 36666 and 36673 is 7.

GCF(36666,36673) = 7

We will now calculate the prime factors of 36666 and 36673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36666 and 36673.

How to find the GCF of 36666 and 36673?

We will first find the prime factorization of 36666 and 36673. After we will calculate the factors of 36666 and 36673 and find the biggest common factor number .

Step-1: Prime Factorization of 36666

Prime factors of 36666 are 2, 3, 7, 97. Prime factorization of 36666 in exponential form is:

36666 = 2¹ × 3³ × 7¹ × 97¹

Step-2: 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-3: Factors of 36666

List of positive integer factors of 36666 that divides 36666 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 97, 126, 189, 194, 291, 378, 582, 679, 873, 1358, 1746, 2037, 2619, 4074, 5238, 6111, 12222, 18333

Step-4: Factors of 36673

List of positive integer factors of 36673 that divides 36666 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36666 and 36673. The biggest common factor number is the GCF number.
So the greatest common factor 36666 and 36673 is 7.

Also check out the Least Common Multiple of 36666 and 36673