What is the Greatest Common Factor of 44165 and 44176?

Greatest common factor (GCF) of 44165 and 44176 is 11.

GCF(44165,44176) = 11

We will now calculate the prime factors of 44165 and 44176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44165 and 44176.

How to find the GCF of 44165 and 44176?

We will first find the prime factorization of 44165 and 44176. After we will calculate the factors of 44165 and 44176 and find the biggest common factor number .

Step-1: Prime Factorization of 44165

Prime factors of 44165 are 5, 11, 73. Prime factorization of 44165 in exponential form is:

44165 = 5¹ × 11² × 73¹

Step-2: Prime Factorization of 44176

Prime factors of 44176 are 2, 11, 251. Prime factorization of 44176 in exponential form is:

44176 = 2⁴ × 11¹ × 251¹

Step-3: Factors of 44165

List of positive integer factors of 44165 that divides 44165 without a remainder.

1, 5, 11, 55, 73, 121, 365, 605, 803, 4015, 8833

Step-4: Factors of 44176

List of positive integer factors of 44176 that divides 44165 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 251, 502, 1004, 2008, 2761, 4016, 5522, 11044, 22088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44165 and 44176. The biggest common factor number is the GCF number.
So the greatest common factor 44165 and 44176 is 11.

Also check out the Least Common Multiple of 44165 and 44176