What is the Greatest Common Factor of 50814 and 50826?

Greatest common factor (GCF) of 50814 and 50826 is 6.

GCF(50814,50826) = 6

We will now calculate the prime factors of 50814 and 50826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50814 and 50826.

How to find the GCF of 50814 and 50826?

We will first find the prime factorization of 50814 and 50826. After we will calculate the factors of 50814 and 50826 and find the biggest common factor number .

Step-1: Prime Factorization of 50814

Prime factors of 50814 are 2, 3, 941. Prime factorization of 50814 in exponential form is:

50814 = 2¹ × 3³ × 941¹

Step-2: Prime Factorization of 50826

Prime factors of 50826 are 2, 3, 43, 197. Prime factorization of 50826 in exponential form is:

50826 = 2¹ × 3¹ × 43¹ × 197¹

Step-3: Factors of 50814

List of positive integer factors of 50814 that divides 50814 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 941, 1882, 2823, 5646, 8469, 16938, 25407

Step-4: Factors of 50826

List of positive integer factors of 50826 that divides 50814 without a remainder.

1, 2, 3, 6, 43, 86, 129, 197, 258, 394, 591, 1182, 8471, 16942, 25413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50814 and 50826. The biggest common factor number is the GCF number.
So the greatest common factor 50814 and 50826 is 6.

Also check out the Least Common Multiple of 50814 and 50826