What is the Greatest Common Factor of 47919 and 47925?

Greatest common factor (GCF) of 47919 and 47925 is 3.

GCF(47919,47925) = 3

We will now calculate the prime factors of 47919 and 47925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47919 and 47925.

How to find the GCF of 47919 and 47925?

We will first find the prime factorization of 47919 and 47925. After we will calculate the factors of 47919 and 47925 and find the biggest common factor number .

Step-1: Prime Factorization of 47919

Prime factors of 47919 are 3, 15973. Prime factorization of 47919 in exponential form is:

47919 = 3¹ × 15973¹

Step-2: 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-3: Factors of 47919

List of positive integer factors of 47919 that divides 47919 without a remainder.

1, 3, 15973

Step-4: Factors of 47925

List of positive integer factors of 47925 that divides 47919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47919 and 47925. The biggest common factor number is the GCF number.
So the greatest common factor 47919 and 47925 is 3.

Also check out the Least Common Multiple of 47919 and 47925