What is the Greatest Common Factor of 44028 and 44046?

Greatest common factor (GCF) of 44028 and 44046 is 18.

GCF(44028,44046) = 18

We will now calculate the prime factors of 44028 and 44046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44028 and 44046.

How to find the GCF of 44028 and 44046?

We will first find the prime factorization of 44028 and 44046. After we will calculate the factors of 44028 and 44046 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44046

Prime factors of 44046 are 2, 3, 2447. Prime factorization of 44046 in exponential form is:

44046 = 2¹ × 3² × 2447¹

Step-3: Factors of 44028

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

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

Step-4: Factors of 44046

List of positive integer factors of 44046 that divides 44028 without a remainder.

1, 2, 3, 6, 9, 18, 2447, 4894, 7341, 14682, 22023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44028 and 44046. The biggest common factor number is the GCF number.
So the greatest common factor 44028 and 44046 is 18.

Also check out the Least Common Multiple of 44028 and 44046