What is the Greatest Common Factor of 44198 and 44209?

Greatest common factor (GCF) of 44198 and 44209 is 11.

GCF(44198,44209) = 11

We will now calculate the prime factors of 44198 and 44209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44198 and 44209.

How to find the GCF of 44198 and 44209?

We will first find the prime factorization of 44198 and 44209. After we will calculate the factors of 44198 and 44209 and find the biggest common factor number .

Step-1: Prime Factorization of 44198

Prime factors of 44198 are 2, 7, 11, 41. Prime factorization of 44198 in exponential form is:

44198 = 2¹ × 7² × 11¹ × 41¹

Step-2: Prime Factorization of 44209

Prime factors of 44209 are 11, 4019. Prime factorization of 44209 in exponential form is:

44209 = 11¹ × 4019¹

Step-3: Factors of 44198

List of positive integer factors of 44198 that divides 44198 without a remainder.

1, 2, 7, 11, 14, 22, 41, 49, 77, 82, 98, 154, 287, 451, 539, 574, 902, 1078, 2009, 3157, 4018, 6314, 22099

Step-4: Factors of 44209

List of positive integer factors of 44209 that divides 44198 without a remainder.

1, 11, 4019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44198 and 44209. The biggest common factor number is the GCF number.
So the greatest common factor 44198 and 44209 is 11.

Also check out the Least Common Multiple of 44198 and 44209