What is the Greatest Common Factor of 44016 and 44031?

Greatest common factor (GCF) of 44016 and 44031 is 3.

GCF(44016,44031) = 3

We will now calculate the prime factors of 44016 and 44031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44016 and 44031.

How to find the GCF of 44016 and 44031?

We will first find the prime factorization of 44016 and 44031. After we will calculate the factors of 44016 and 44031 and find the biggest common factor number .

Step-1: Prime Factorization of 44016

Prime factors of 44016 are 2, 3, 7, 131. Prime factorization of 44016 in exponential form is:

44016 = 2⁴ × 3¹ × 7¹ × 131¹

Step-2: Prime Factorization of 44031

Prime factors of 44031 are 3, 13, 1129. Prime factorization of 44031 in exponential form is:

44031 = 3¹ × 13¹ × 1129¹

Step-3: Factors of 44016

List of positive integer factors of 44016 that divides 44016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 131, 168, 262, 336, 393, 524, 786, 917, 1048, 1572, 1834, 2096, 2751, 3144, 3668, 5502, 6288, 7336, 11004, 14672, 22008

Step-4: Factors of 44031

List of positive integer factors of 44031 that divides 44016 without a remainder.

1, 3, 13, 39, 1129, 3387, 14677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44016 and 44031. The biggest common factor number is the GCF number.
So the greatest common factor 44016 and 44031 is 3.

Also check out the Least Common Multiple of 44016 and 44031