What is the Greatest Common Factor of 44010 and 44028?

Greatest common factor (GCF) of 44010 and 44028 is 18.

GCF(44010,44028) = 18

We will now calculate the prime factors of 44010 and 44028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44010 and 44028.

How to find the GCF of 44010 and 44028?

We will first find the prime factorization of 44010 and 44028. After we will calculate the factors of 44010 and 44028 and find the biggest common factor number .

Step-1: Prime Factorization of 44010

Prime factors of 44010 are 2, 3, 5, 163. Prime factorization of 44010 in exponential form is:

44010 = 2¹ × 3³ × 5¹ × 163¹

Step-2: Prime Factorization of 44028

Prime factors of 44028 are 2, 3, 1223. Prime factorization of 44028 in exponential form is:

44028 = 2² × 3² × 1223¹

Step-3: Factors of 44010

List of positive integer factors of 44010 that divides 44010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 163, 270, 326, 489, 815, 978, 1467, 1630, 2445, 2934, 4401, 4890, 7335, 8802, 14670, 22005

Step-4: Factors of 44028

List of positive integer factors of 44028 that divides 44010 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1223, 2446, 3669, 4892, 7338, 11007, 14676, 22014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44010 and 44028. The biggest common factor number is the GCF number.
So the greatest common factor 44010 and 44028 is 18.

Also check out the Least Common Multiple of 44010 and 44028