What is the Greatest Common Factor of 35666 and 35683?

Greatest common factor (GCF) of 35666 and 35683 is 17.

GCF(35666,35683) = 17

We will now calculate the prime factors of 35666 and 35683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35666 and 35683.

How to find the GCF of 35666 and 35683?

We will first find the prime factorization of 35666 and 35683. After we will calculate the factors of 35666 and 35683 and find the biggest common factor number .

Step-1: Prime Factorization of 35666

Prime factors of 35666 are 2, 17, 1049. Prime factorization of 35666 in exponential form is:

35666 = 2¹ × 17¹ × 1049¹

Step-2: Prime Factorization of 35683

Prime factors of 35683 are 17, 2099. Prime factorization of 35683 in exponential form is:

35683 = 17¹ × 2099¹

Step-3: Factors of 35666

List of positive integer factors of 35666 that divides 35666 without a remainder.

1, 2, 17, 34, 1049, 2098, 17833

Step-4: Factors of 35683

List of positive integer factors of 35683 that divides 35666 without a remainder.

1, 17, 2099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35666 and 35683. The biggest common factor number is the GCF number.
So the greatest common factor 35666 and 35683 is 17.

Also check out the Least Common Multiple of 35666 and 35683