What is the Greatest Common Factor of 50853 and 50859?

Greatest common factor (GCF) of 50853 and 50859 is 3.

GCF(50853,50859) = 3

We will now calculate the prime factors of 50853 and 50859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50853 and 50859.

How to find the GCF of 50853 and 50859?

We will first find the prime factorization of 50853 and 50859. After we will calculate the factors of 50853 and 50859 and find the biggest common factor number .

Step-1: Prime Factorization of 50853

Prime factors of 50853 are 3, 11, 23, 67. Prime factorization of 50853 in exponential form is:

50853 = 3¹ × 11¹ × 23¹ × 67¹

Step-2: Prime Factorization of 50859

Prime factors of 50859 are 3, 5651. Prime factorization of 50859 in exponential form is:

50859 = 3² × 5651¹

Step-3: Factors of 50853

List of positive integer factors of 50853 that divides 50853 without a remainder.

1, 3, 11, 23, 33, 67, 69, 201, 253, 737, 759, 1541, 2211, 4623, 16951

Step-4: Factors of 50859

List of positive integer factors of 50859 that divides 50853 without a remainder.

1, 3, 9, 5651, 16953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50853 and 50859. The biggest common factor number is the GCF number.
So the greatest common factor 50853 and 50859 is 3.

Also check out the Least Common Multiple of 50853 and 50859