What is the Greatest Common Factor of 36686 and 36703?

Greatest common factor (GCF) of 36686 and 36703 is 17.

GCF(36686,36703) = 17

We will now calculate the prime factors of 36686 and 36703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36686 and 36703.

How to find the GCF of 36686 and 36703?

We will first find the prime factorization of 36686 and 36703. After we will calculate the factors of 36686 and 36703 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36703

Prime factors of 36703 are 17, 127. Prime factorization of 36703 in exponential form is:

36703 = 17² × 127¹

Step-3: Factors of 36686

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

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

Step-4: Factors of 36703

List of positive integer factors of 36703 that divides 36686 without a remainder.

1, 17, 127, 289, 2159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36686 and 36703. The biggest common factor number is the GCF number.
So the greatest common factor 36686 and 36703 is 17.

Also check out the Least Common Multiple of 36686 and 36703