What is the Greatest Common Factor of 44409 and 44420?

Greatest common factor (GCF) of 44409 and 44420 is 1.

GCF(44409,44420) = 1

We will now calculate the prime factors of 44409 and 44420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44409 and 44420.

How to find the GCF of 44409 and 44420?

We will first find the prime factorization of 44409 and 44420. After we will calculate the factors of 44409 and 44420 and find the biggest common factor number .

Step-1: Prime Factorization of 44409

Prime factors of 44409 are 3, 113, 131. Prime factorization of 44409 in exponential form is:

44409 = 3¹ × 113¹ × 131¹

Step-2: Prime Factorization of 44420

Prime factors of 44420 are 2, 5, 2221. Prime factorization of 44420 in exponential form is:

44420 = 2² × 5¹ × 2221¹

Step-3: Factors of 44409

List of positive integer factors of 44409 that divides 44409 without a remainder.

1, 3, 113, 131, 339, 393, 14803

Step-4: Factors of 44420

List of positive integer factors of 44420 that divides 44409 without a remainder.

1, 2, 4, 5, 10, 20, 2221, 4442, 8884, 11105, 22210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44409 and 44420. The biggest common factor number is the GCF number.
So the greatest common factor 44409 and 44420 is 1.

Also check out the Least Common Multiple of 44409 and 44420