What is the Greatest Common Factor of 49997 and 50009?

Greatest common factor (GCF) of 49997 and 50009 is 1.

GCF(49997,50009) = 1

We will now calculate the prime factors of 49997 and 50009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49997 and 50009.

How to find the GCF of 49997 and 50009?

We will first find the prime factorization of 49997 and 50009. After we will calculate the factors of 49997 and 50009 and find the biggest common factor number .

Step-1: Prime Factorization of 49997

Prime factors of 49997 are 17, 173. Prime factorization of 49997 in exponential form is:

49997 = 17² × 173¹

Step-2: Prime Factorization of 50009

Prime factors of 50009 are 43, 1163. Prime factorization of 50009 in exponential form is:

50009 = 43¹ × 1163¹

Step-3: Factors of 49997

List of positive integer factors of 49997 that divides 49997 without a remainder.

1, 17, 173, 289, 2941

Step-4: Factors of 50009

List of positive integer factors of 50009 that divides 49997 without a remainder.

1, 43, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49997 and 50009. The biggest common factor number is the GCF number.
So the greatest common factor 49997 and 50009 is 1.

Also check out the Least Common Multiple of 49997 and 50009