What is the Greatest Common Factor of 50844 and 50856?

Greatest common factor (GCF) of 50844 and 50856 is 12.

GCF(50844,50856) = 12

We will now calculate the prime factors of 50844 and 50856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50844 and 50856.

How to find the GCF of 50844 and 50856?

We will first find the prime factorization of 50844 and 50856. After we will calculate the factors of 50844 and 50856 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50856

Prime factors of 50856 are 2, 3, 13, 163. Prime factorization of 50856 in exponential form is:

50856 = 2³ × 3¹ × 13¹ × 163¹

Step-3: Factors of 50844

List of positive integer factors of 50844 that divides 50844 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

Step-4: Factors of 50856

List of positive integer factors of 50856 that divides 50844 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 163, 312, 326, 489, 652, 978, 1304, 1956, 2119, 3912, 4238, 6357, 8476, 12714, 16952, 25428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50844 and 50856. The biggest common factor number is the GCF number.
So the greatest common factor 50844 and 50856 is 12.

Also check out the Least Common Multiple of 50844 and 50856