What is the Greatest Common Factor of 47925 and 47930?

Greatest common factor (GCF) of 47925 and 47930 is 5.

GCF(47925,47930) = 5

We will now calculate the prime factors of 47925 and 47930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47925 and 47930.

How to find the GCF of 47925 and 47930?

We will first find the prime factorization of 47925 and 47930. After we will calculate the factors of 47925 and 47930 and find the biggest common factor number .

Step-1: Prime Factorization of 47925

Prime factors of 47925 are 3, 5, 71. Prime factorization of 47925 in exponential form is:

47925 = 3³ × 5² × 71¹

Step-2: Prime Factorization of 47930

Prime factors of 47930 are 2, 5, 4793. Prime factorization of 47930 in exponential form is:

47930 = 2¹ × 5¹ × 4793¹

Step-3: Factors of 47925

List of positive integer factors of 47925 that divides 47925 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 71, 75, 135, 213, 225, 355, 639, 675, 1065, 1775, 1917, 3195, 5325, 9585, 15975

Step-4: Factors of 47930

List of positive integer factors of 47930 that divides 47925 without a remainder.

1, 2, 5, 10, 4793, 9586, 23965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47925 and 47930. The biggest common factor number is the GCF number.
So the greatest common factor 47925 and 47930 is 5.

Also check out the Least Common Multiple of 47925 and 47930