What is the Greatest Common Factor of 50814 and 50832?

Greatest common factor (GCF) of 50814 and 50832 is 18.

GCF(50814,50832) = 18

We will now calculate the prime factors of 50814 and 50832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50814 and 50832.

How to find the GCF of 50814 and 50832?

We will first find the prime factorization of 50814 and 50832. After we will calculate the factors of 50814 and 50832 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 50832

Prime factors of 50832 are 2, 3, 353. Prime factorization of 50832 in exponential form is:

50832 = 2⁴ × 3² × 353¹

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 50832

List of positive integer factors of 50832 that divides 50814 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 353, 706, 1059, 1412, 2118, 2824, 3177, 4236, 5648, 6354, 8472, 12708, 16944, 25416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50814 and 50832. The biggest common factor number is the GCF number.
So the greatest common factor 50814 and 50832 is 18.

Also check out the Least Common Multiple of 50814 and 50832