What is the Greatest Common Factor of 40644 and 40658?

Greatest common factor (GCF) of 40644 and 40658 is 2.

GCF(40644,40658) = 2

We will now calculate the prime factors of 40644 and 40658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40644 and 40658.

How to find the GCF of 40644 and 40658?

We will first find the prime factorization of 40644 and 40658. After we will calculate the factors of 40644 and 40658 and find the biggest common factor number .

Step-1: Prime Factorization of 40644

Prime factors of 40644 are 2, 3, 1129. Prime factorization of 40644 in exponential form is:

40644 = 2² × 3² × 1129¹

Step-2: Prime Factorization of 40658

Prime factors of 40658 are 2, 29, 701. Prime factorization of 40658 in exponential form is:

40658 = 2¹ × 29¹ × 701¹

Step-3: Factors of 40644

List of positive integer factors of 40644 that divides 40644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1129, 2258, 3387, 4516, 6774, 10161, 13548, 20322

Step-4: Factors of 40658

List of positive integer factors of 40658 that divides 40644 without a remainder.

1, 2, 29, 58, 701, 1402, 20329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40644 and 40658. The biggest common factor number is the GCF number.
So the greatest common factor 40644 and 40658 is 2.

Also check out the Least Common Multiple of 40644 and 40658