What is the Greatest Common Factor of 50832 and 50844?

Greatest common factor (GCF) of 50832 and 50844 is 12.

GCF(50832,50844) = 12

We will now calculate the prime factors of 50832 and 50844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50832 and 50844.

How to find the GCF of 50832 and 50844?

We will first find the prime factorization of 50832 and 50844. After we will calculate the factors of 50832 and 50844 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50844

Prime factors of 50844 are 2, 3, 19, 223. Prime factorization of 50844 in exponential form is:

50844 = 2² × 3¹ × 19¹ × 223¹

Step-3: Factors of 50832

List of positive integer factors of 50832 that divides 50832 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

Step-4: Factors of 50844

List of positive integer factors of 50844 that divides 50832 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 223, 228, 446, 669, 892, 1338, 2676, 4237, 8474, 12711, 16948, 25422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50832 and 50844. The biggest common factor number is the GCF number.
So the greatest common factor 50832 and 50844 is 12.

Also check out the Least Common Multiple of 50832 and 50844