What is the Greatest Common Factor of 40659 and 40677?

Greatest common factor (GCF) of 40659 and 40677 is 3.

GCF(40659,40677) = 3

We will now calculate the prime factors of 40659 and 40677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40659 and 40677.

How to find the GCF of 40659 and 40677?

We will first find the prime factorization of 40659 and 40677. After we will calculate the factors of 40659 and 40677 and find the biggest common factor number .

Step-1: Prime Factorization of 40659

Prime factors of 40659 are 3, 13553. Prime factorization of 40659 in exponential form is:

40659 = 3¹ × 13553¹

Step-2: 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-3: Factors of 40659

List of positive integer factors of 40659 that divides 40659 without a remainder.

1, 3, 13553

Step-4: Factors of 40677

List of positive integer factors of 40677 that divides 40659 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40659 and 40677. The biggest common factor number is the GCF number.
So the greatest common factor 40659 and 40677 is 3.

Also check out the Least Common Multiple of 40659 and 40677