What is the Greatest Common Factor of 50091 and 50097?

Greatest common factor (GCF) of 50091 and 50097 is 3.

GCF(50091,50097) = 3

We will now calculate the prime factors of 50091 and 50097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50091 and 50097.

How to find the GCF of 50091 and 50097?

We will first find the prime factorization of 50091 and 50097. After we will calculate the factors of 50091 and 50097 and find the biggest common factor number .

Step-1: Prime Factorization of 50091

Prime factors of 50091 are 3, 59, 283. Prime factorization of 50091 in exponential form is:

50091 = 3¹ × 59¹ × 283¹

Step-2: Prime Factorization of 50097

Prime factors of 50097 are 3, 16699. Prime factorization of 50097 in exponential form is:

50097 = 3¹ × 16699¹

Step-3: Factors of 50091

List of positive integer factors of 50091 that divides 50091 without a remainder.

1, 3, 59, 177, 283, 849, 16697

Step-4: Factors of 50097

List of positive integer factors of 50097 that divides 50091 without a remainder.

1, 3, 16699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50091 and 50097. The biggest common factor number is the GCF number.
So the greatest common factor 50091 and 50097 is 3.

Also check out the Least Common Multiple of 50091 and 50097