What is the Greatest Common Factor of 50925 and 50930?

Greatest common factor (GCF) of 50925 and 50930 is 5.

GCF(50925,50930) = 5

We will now calculate the prime factors of 50925 and 50930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50925 and 50930.

How to find the GCF of 50925 and 50930?

We will first find the prime factorization of 50925 and 50930. After we will calculate the factors of 50925 and 50930 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 50930

Prime factors of 50930 are 2, 5, 11, 463. Prime factorization of 50930 in exponential form is:

50930 = 2¹ × 5¹ × 11¹ × 463¹

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 50930

List of positive integer factors of 50930 that divides 50925 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 463, 926, 2315, 4630, 5093, 10186, 25465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50925 and 50930. The biggest common factor number is the GCF number.
So the greatest common factor 50925 and 50930 is 5.

Also check out the Least Common Multiple of 50925 and 50930