What is the Greatest Common Factor of 44044 and 44060?

Greatest common factor (GCF) of 44044 and 44060 is 4.

GCF(44044,44060) = 4

We will now calculate the prime factors of 44044 and 44060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44044 and 44060.

How to find the GCF of 44044 and 44060?

We will first find the prime factorization of 44044 and 44060. After we will calculate the factors of 44044 and 44060 and find the biggest common factor number .

Step-1: Prime Factorization of 44044

Prime factors of 44044 are 2, 7, 11, 13. Prime factorization of 44044 in exponential form is:

44044 = 2² × 7¹ × 11² × 13¹

Step-2: Prime Factorization of 44060

Prime factors of 44060 are 2, 5, 2203. Prime factorization of 44060 in exponential form is:

44060 = 2² × 5¹ × 2203¹

Step-3: Factors of 44044

List of positive integer factors of 44044 that divides 44044 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 121, 143, 154, 182, 242, 286, 308, 364, 484, 572, 847, 1001, 1573, 1694, 2002, 3146, 3388, 4004, 6292, 11011, 22022

Step-4: Factors of 44060

List of positive integer factors of 44060 that divides 44044 without a remainder.

1, 2, 4, 5, 10, 20, 2203, 4406, 8812, 11015, 22030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44044 and 44060. The biggest common factor number is the GCF number.
So the greatest common factor 44044 and 44060 is 4.

Also check out the Least Common Multiple of 44044 and 44060