What is the Greatest Common Factor of 44668 and 44681?

Greatest common factor (GCF) of 44668 and 44681 is 13.

GCF(44668,44681) = 13

We will now calculate the prime factors of 44668 and 44681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44668 and 44681.

How to find the GCF of 44668 and 44681?

We will first find the prime factorization of 44668 and 44681. After we will calculate the factors of 44668 and 44681 and find the biggest common factor number .

Step-1: Prime Factorization of 44668

Prime factors of 44668 are 2, 13, 859. Prime factorization of 44668 in exponential form is:

44668 = 2² × 13¹ × 859¹

Step-2: Prime Factorization of 44681

Prime factors of 44681 are 7, 13, 491. Prime factorization of 44681 in exponential form is:

44681 = 7¹ × 13¹ × 491¹

Step-3: Factors of 44668

List of positive integer factors of 44668 that divides 44668 without a remainder.

1, 2, 4, 13, 26, 52, 859, 1718, 3436, 11167, 22334

Step-4: Factors of 44681

List of positive integer factors of 44681 that divides 44668 without a remainder.

1, 7, 13, 91, 491, 3437, 6383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44668 and 44681. The biggest common factor number is the GCF number.
So the greatest common factor 44668 and 44681 is 13.

Also check out the Least Common Multiple of 44668 and 44681