What is the Greatest Common Factor of 50842 and 50853?

Greatest common factor (GCF) of 50842 and 50853 is 11.

GCF(50842,50853) = 11

We will now calculate the prime factors of 50842 and 50853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50842 and 50853.

How to find the GCF of 50842 and 50853?

We will first find the prime factorization of 50842 and 50853. After we will calculate the factors of 50842 and 50853 and find the biggest common factor number .

Step-1: Prime Factorization of 50842

Prime factors of 50842 are 2, 11, 2311. Prime factorization of 50842 in exponential form is:

50842 = 2¹ × 11¹ × 2311¹

Step-2: 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-3: Factors of 50842

List of positive integer factors of 50842 that divides 50842 without a remainder.

1, 2, 11, 22, 2311, 4622, 25421

Step-4: Factors of 50853

List of positive integer factors of 50853 that divides 50842 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50842 and 50853. The biggest common factor number is the GCF number.
So the greatest common factor 50842 and 50853 is 11.

Also check out the Least Common Multiple of 50842 and 50853