What is the Greatest Common Factor of 49905 and 49909?

Greatest common factor (GCF) of 49905 and 49909 is 1.

GCF(49905,49909) = 1

We will now calculate the prime factors of 49905 and 49909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49905 and 49909.

How to find the GCF of 49905 and 49909?

We will first find the prime factorization of 49905 and 49909. After we will calculate the factors of 49905 and 49909 and find the biggest common factor number .

Step-1: Prime Factorization of 49905

Prime factors of 49905 are 3, 5, 1109. Prime factorization of 49905 in exponential form is:

49905 = 3² × 5¹ × 1109¹

Step-2: Prime Factorization of 49909

Prime factors of 49909 are 29, 1721. Prime factorization of 49909 in exponential form is:

49909 = 29¹ × 1721¹

Step-3: Factors of 49905

List of positive integer factors of 49905 that divides 49905 without a remainder.

1, 3, 5, 9, 15, 45, 1109, 3327, 5545, 9981, 16635

Step-4: Factors of 49909

List of positive integer factors of 49909 that divides 49905 without a remainder.

1, 29, 1721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49905 and 49909. The biggest common factor number is the GCF number.
So the greatest common factor 49905 and 49909 is 1.

Also check out the Least Common Multiple of 49905 and 49909