What is the Greatest Common Factor of 50912 and 50925?

Greatest common factor (GCF) of 50912 and 50925 is 1.

GCF(50912,50925) = 1

We will now calculate the prime factors of 50912 and 50925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50912 and 50925.

How to find the GCF of 50912 and 50925?

We will first find the prime factorization of 50912 and 50925. After we will calculate the factors of 50912 and 50925 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 50925

Prime factors of 50925 are 3, 5, 7, 97. Prime factorization of 50925 in exponential form is:

50925 = 3¹ × 5² × 7¹ × 97¹

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 50925

List of positive integer factors of 50925 that divides 50912 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 97, 105, 175, 291, 485, 525, 679, 1455, 2037, 2425, 3395, 7275, 10185, 16975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50912 and 50925. The biggest common factor number is the GCF number.
So the greatest common factor 50912 and 50925 is 1.

Also check out the Least Common Multiple of 50912 and 50925