What is the Greatest Common Factor of 40686 and 40701?

Greatest common factor (GCF) of 40686 and 40701 is 3.

GCF(40686,40701) = 3

We will now calculate the prime factors of 40686 and 40701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40686 and 40701.

How to find the GCF of 40686 and 40701?

We will first find the prime factorization of 40686 and 40701. After we will calculate the factors of 40686 and 40701 and find the biggest common factor number .

Step-1: Prime Factorization of 40686

Prime factors of 40686 are 2, 3, 6781. Prime factorization of 40686 in exponential form is:

40686 = 2¹ × 3¹ × 6781¹

Step-2: Prime Factorization of 40701

Prime factors of 40701 are 3, 13567. Prime factorization of 40701 in exponential form is:

40701 = 3¹ × 13567¹

Step-3: Factors of 40686

List of positive integer factors of 40686 that divides 40686 without a remainder.

1, 2, 3, 6, 6781, 13562, 20343

Step-4: Factors of 40701

List of positive integer factors of 40701 that divides 40686 without a remainder.

1, 3, 13567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40686 and 40701. The biggest common factor number is the GCF number.
So the greatest common factor 40686 and 40701 is 3.

Also check out the Least Common Multiple of 40686 and 40701