What is the Greatest Common Factor of 44271 and 44286?

Greatest common factor (GCF) of 44271 and 44286 is 3.

GCF(44271,44286) = 3

We will now calculate the prime factors of 44271 and 44286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44271 and 44286.

How to find the GCF of 44271 and 44286?

We will first find the prime factorization of 44271 and 44286. After we will calculate the factors of 44271 and 44286 and find the biggest common factor number .

Step-1: Prime Factorization of 44271

Prime factors of 44271 are 3, 4919. Prime factorization of 44271 in exponential form is:

44271 = 3² × 4919¹

Step-2: Prime Factorization of 44286

Prime factors of 44286 are 2, 3, 11, 61. Prime factorization of 44286 in exponential form is:

44286 = 2¹ × 3¹ × 11² × 61¹

Step-3: Factors of 44271

List of positive integer factors of 44271 that divides 44271 without a remainder.

1, 3, 9, 4919, 14757

Step-4: Factors of 44286

List of positive integer factors of 44286 that divides 44271 without a remainder.

1, 2, 3, 6, 11, 22, 33, 61, 66, 121, 122, 183, 242, 363, 366, 671, 726, 1342, 2013, 4026, 7381, 14762, 22143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44271 and 44286. The biggest common factor number is the GCF number.
So the greatest common factor 44271 and 44286 is 3.

Also check out the Least Common Multiple of 44271 and 44286