What is the Greatest Common Factor of 50925 and 50936?

Greatest common factor (GCF) of 50925 and 50936 is 1.

GCF(50925,50936) = 1

We will now calculate the prime factors of 50925 and 50936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50925 and 50936.

How to find the GCF of 50925 and 50936?

We will first find the prime factorization of 50925 and 50936. After we will calculate the factors of 50925 and 50936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50936

Prime factors of 50936 are 2, 6367. Prime factorization of 50936 in exponential form is:

50936 = 2³ × 6367¹

Step-3: Factors of 50925

List of positive integer factors of 50925 that divides 50925 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

Step-4: Factors of 50936

List of positive integer factors of 50936 that divides 50925 without a remainder.

1, 2, 4, 8, 6367, 12734, 25468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50925 and 50936. The biggest common factor number is the GCF number.
So the greatest common factor 50925 and 50936 is 1.

Also check out the Least Common Multiple of 50925 and 50936