What is the Greatest Common Factor of 44019 and 44028?

Greatest common factor (GCF) of 44019 and 44028 is 9.

GCF(44019,44028) = 9

We will now calculate the prime factors of 44019 and 44028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44019 and 44028.

How to find the GCF of 44019 and 44028?

We will first find the prime factorization of 44019 and 44028. After we will calculate the factors of 44019 and 44028 and find the biggest common factor number .

Step-1: Prime Factorization of 44019

Prime factors of 44019 are 3, 67, 73. Prime factorization of 44019 in exponential form is:

44019 = 3² × 67¹ × 73¹

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 44019

List of positive integer factors of 44019 that divides 44019 without a remainder.

1, 3, 9, 67, 73, 201, 219, 603, 657, 4891, 14673

Step-4: Factors of 44028

List of positive integer factors of 44028 that divides 44019 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 44019 and 44028. The biggest common factor number is the GCF number.
So the greatest common factor 44019 and 44028 is 9.

Also check out the Least Common Multiple of 44019 and 44028