What is the Greatest Common Factor of 40677 and 40686?

Greatest common factor (GCF) of 40677 and 40686 is 3.

GCF(40677,40686) = 3

We will now calculate the prime factors of 40677 and 40686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40677 and 40686.

How to find the GCF of 40677 and 40686?

We will first find the prime factorization of 40677 and 40686. After we will calculate the factors of 40677 and 40686 and find the biggest common factor number .

Step-1: Prime Factorization of 40677

Prime factors of 40677 are 3, 7, 13, 149. Prime factorization of 40677 in exponential form is:

40677 = 3¹ × 7¹ × 13¹ × 149¹

Step-2: 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-3: Factors of 40677

List of positive integer factors of 40677 that divides 40677 without a remainder.

1, 3, 7, 13, 21, 39, 91, 149, 273, 447, 1043, 1937, 3129, 5811, 13559

Step-4: Factors of 40686

List of positive integer factors of 40686 that divides 40677 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40677 and 40686. The biggest common factor number is the GCF number.
So the greatest common factor 40677 and 40686 is 3.

Also check out the Least Common Multiple of 40677 and 40686