What is the Greatest Common Factor of 50825 and 50844?

Greatest common factor (GCF) of 50825 and 50844 is 19.

GCF(50825,50844) = 19

We will now calculate the prime factors of 50825 and 50844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50825 and 50844.

How to find the GCF of 50825 and 50844?

We will first find the prime factorization of 50825 and 50844. After we will calculate the factors of 50825 and 50844 and find the biggest common factor number .

Step-1: Prime Factorization of 50825

Prime factors of 50825 are 5, 19, 107. Prime factorization of 50825 in exponential form is:

50825 = 5² × 19¹ × 107¹

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 50825

List of positive integer factors of 50825 that divides 50825 without a remainder.

1, 5, 19, 25, 95, 107, 475, 535, 2033, 2675, 10165

Step-4: Factors of 50844

List of positive integer factors of 50844 that divides 50825 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 50825 and 50844. The biggest common factor number is the GCF number.
So the greatest common factor 50825 and 50844 is 19.

Also check out the Least Common Multiple of 50825 and 50844