What is the Greatest Common Factor of 50912 and 50929?

Greatest common factor (GCF) of 50912 and 50929 is 1.

GCF(50912,50929) = 1

We will now calculate the prime factors of 50912 and 50929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50912 and 50929.

How to find the GCF of 50912 and 50929?

We will first find the prime factorization of 50912 and 50929. After we will calculate the factors of 50912 and 50929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50929

Prime factors of 50929 are 50929. Prime factorization of 50929 in exponential form is:

50929 = 50929¹

Step-3: Factors of 50912

List of positive integer factors of 50912 that divides 50912 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

Step-4: Factors of 50929

List of positive integer factors of 50929 that divides 50912 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50912 and 50929. The biggest common factor number is the GCF number.
So the greatest common factor 50912 and 50929 is 1.

Also check out the Least Common Multiple of 50912 and 50929