What is the Greatest Common Factor of 49889 and 49909?

Greatest common factor (GCF) of 49889 and 49909 is 1.

GCF(49889,49909) = 1

We will now calculate the prime factors of 49889 and 49909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49889 and 49909.

How to find the GCF of 49889 and 49909?

We will first find the prime factorization of 49889 and 49909. After we will calculate the factors of 49889 and 49909 and find the biggest common factor number .

Step-1: Prime Factorization of 49889

Prime factors of 49889 are 7, 7127. Prime factorization of 49889 in exponential form is:

49889 = 7¹ × 7127¹

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 49889

List of positive integer factors of 49889 that divides 49889 without a remainder.

1, 7, 7127

Step-4: Factors of 49909

List of positive integer factors of 49909 that divides 49889 without a remainder.

1, 29, 1721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49889 and 49909. The biggest common factor number is the GCF number.
So the greatest common factor 49889 and 49909 is 1.

Also check out the Least Common Multiple of 49889 and 49909