What is the Greatest Common Factor of 44163 and 44178?

Greatest common factor (GCF) of 44163 and 44178 is 3.

GCF(44163,44178) = 3

We will now calculate the prime factors of 44163 and 44178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44163 and 44178.

How to find the GCF of 44163 and 44178?

We will first find the prime factorization of 44163 and 44178. After we will calculate the factors of 44163 and 44178 and find the biggest common factor number .

Step-1: Prime Factorization of 44163

Prime factors of 44163 are 3, 7, 701. Prime factorization of 44163 in exponential form is:

44163 = 3² × 7¹ × 701¹

Step-2: Prime Factorization of 44178

Prime factors of 44178 are 2, 3, 37, 199. Prime factorization of 44178 in exponential form is:

44178 = 2¹ × 3¹ × 37¹ × 199¹

Step-3: Factors of 44163

List of positive integer factors of 44163 that divides 44163 without a remainder.

1, 3, 7, 9, 21, 63, 701, 2103, 4907, 6309, 14721

Step-4: Factors of 44178

List of positive integer factors of 44178 that divides 44163 without a remainder.

1, 2, 3, 6, 37, 74, 111, 199, 222, 398, 597, 1194, 7363, 14726, 22089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44163 and 44178. The biggest common factor number is the GCF number.
So the greatest common factor 44163 and 44178 is 3.

Also check out the Least Common Multiple of 44163 and 44178