What is the Greatest Common Factor of 36659 and 36666?

Greatest common factor (GCF) of 36659 and 36666 is 7.

GCF(36659,36666) = 7

We will now calculate the prime factors of 36659 and 36666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36659 and 36666.

How to find the GCF of 36659 and 36666?

We will first find the prime factorization of 36659 and 36666. After we will calculate the factors of 36659 and 36666 and find the biggest common factor number .

Step-1: Prime Factorization of 36659

Prime factors of 36659 are 7, 5237. Prime factorization of 36659 in exponential form is:

36659 = 7¹ × 5237¹

Step-2: 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-3: Factors of 36659

List of positive integer factors of 36659 that divides 36659 without a remainder.

1, 7, 5237

Step-4: Factors of 36666

List of positive integer factors of 36666 that divides 36659 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36659 and 36666. The biggest common factor number is the GCF number.
So the greatest common factor 36659 and 36666 is 7.

Also check out the Least Common Multiple of 36659 and 36666