What is the Greatest Common Factor of 44900 and 44909?

Greatest common factor (GCF) of 44900 and 44909 is 1.

GCF(44900,44909) = 1

We will now calculate the prime factors of 44900 and 44909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44900 and 44909.

How to find the GCF of 44900 and 44909?

We will first find the prime factorization of 44900 and 44909. After we will calculate the factors of 44900 and 44909 and find the biggest common factor number .

Step-1: Prime Factorization of 44900

Prime factors of 44900 are 2, 5, 449. Prime factorization of 44900 in exponential form is:

44900 = 2² × 5² × 449¹

Step-2: Prime Factorization of 44909

Prime factors of 44909 are 44909. Prime factorization of 44909 in exponential form is:

44909 = 44909¹

Step-3: Factors of 44900

List of positive integer factors of 44900 that divides 44900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 449, 898, 1796, 2245, 4490, 8980, 11225, 22450

Step-4: Factors of 44909

List of positive integer factors of 44909 that divides 44900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44900 and 44909. The biggest common factor number is the GCF number.
So the greatest common factor 44900 and 44909 is 1.

Also check out the Least Common Multiple of 44900 and 44909