What is the Greatest Common Factor of 50900 and 50912?

Greatest common factor (GCF) of 50900 and 50912 is 4.

GCF(50900,50912) = 4

We will now calculate the prime factors of 50900 and 50912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50900 and 50912.

How to find the GCF of 50900 and 50912?

We will first find the prime factorization of 50900 and 50912. After we will calculate the factors of 50900 and 50912 and find the biggest common factor number .

Step-1: Prime Factorization of 50900

Prime factors of 50900 are 2, 5, 509. Prime factorization of 50900 in exponential form is:

50900 = 2² × 5² × 509¹

Step-2: Prime Factorization of 50912

Prime factors of 50912 are 2, 37, 43. Prime factorization of 50912 in exponential form is:

50912 = 2⁵ × 37¹ × 43¹

Step-3: Factors of 50900

List of positive integer factors of 50900 that divides 50900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 509, 1018, 2036, 2545, 5090, 10180, 12725, 25450

Step-4: Factors of 50912

List of positive integer factors of 50912 that divides 50900 without a remainder.

1, 2, 4, 8, 16, 32, 37, 43, 74, 86, 148, 172, 296, 344, 592, 688, 1184, 1376, 1591, 3182, 6364, 12728, 25456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50900 and 50912. The biggest common factor number is the GCF number.
So the greatest common factor 50900 and 50912 is 4.

Also check out the Least Common Multiple of 50900 and 50912