What is the Greatest Common Factor of 44396 and 44407?

Greatest common factor (GCF) of 44396 and 44407 is 11.

GCF(44396,44407) = 11

We will now calculate the prime factors of 44396 and 44407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44396 and 44407.

How to find the GCF of 44396 and 44407?

We will first find the prime factorization of 44396 and 44407. After we will calculate the factors of 44396 and 44407 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 44407

Prime factors of 44407 are 11, 367. Prime factorization of 44407 in exponential form is:

44407 = 11² × 367¹

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 44407

List of positive integer factors of 44407 that divides 44396 without a remainder.

1, 11, 121, 367, 4037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44396 and 44407. The biggest common factor number is the GCF number.
So the greatest common factor 44396 and 44407 is 11.

Also check out the Least Common Multiple of 44396 and 44407