What is the Greatest Common Factor of 44396 and 44404?

Greatest common factor (GCF) of 44396 and 44404 is 4.

GCF(44396,44404) = 4

We will now calculate the prime factors of 44396 and 44404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44396 and 44404.

How to find the GCF of 44396 and 44404?

We will first find the prime factorization of 44396 and 44404. After we will calculate the factors of 44396 and 44404 and find the biggest common factor number .

Step-1: Prime Factorization of 44396

Prime factors of 44396 are 2, 11, 1009. Prime factorization of 44396 in exponential form is:

44396 = 2² × 11¹ × 1009¹

Step-2: Prime Factorization of 44404

Prime factors of 44404 are 2, 17, 653. Prime factorization of 44404 in exponential form is:

44404 = 2² × 17¹ × 653¹

Step-3: Factors of 44396

List of positive integer factors of 44396 that divides 44396 without a remainder.

1, 2, 4, 11, 22, 44, 1009, 2018, 4036, 11099, 22198

Step-4: Factors of 44404

List of positive integer factors of 44404 that divides 44396 without a remainder.

1, 2, 4, 17, 34, 68, 653, 1306, 2612, 11101, 22202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44396 and 44404. The biggest common factor number is the GCF number.
So the greatest common factor 44396 and 44404 is 4.

Also check out the Least Common Multiple of 44396 and 44404