What is the Greatest Common Factor of 47835 and 47853?

Greatest common factor (GCF) of 47835 and 47853 is 9.

GCF(47835,47853) = 9

We will now calculate the prime factors of 47835 and 47853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47835 and 47853.

How to find the GCF of 47835 and 47853?

We will first find the prime factorization of 47835 and 47853. After we will calculate the factors of 47835 and 47853 and find the biggest common factor number .

Step-1: Prime Factorization of 47835

Prime factors of 47835 are 3, 5, 1063. Prime factorization of 47835 in exponential form is:

47835 = 3² × 5¹ × 1063¹

Step-2: Prime Factorization of 47853

Prime factors of 47853 are 3, 13, 409. Prime factorization of 47853 in exponential form is:

47853 = 3² × 13¹ × 409¹

Step-3: Factors of 47835

List of positive integer factors of 47835 that divides 47835 without a remainder.

1, 3, 5, 9, 15, 45, 1063, 3189, 5315, 9567, 15945

Step-4: Factors of 47853

List of positive integer factors of 47853 that divides 47835 without a remainder.

1, 3, 9, 13, 39, 117, 409, 1227, 3681, 5317, 15951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47835 and 47853. The biggest common factor number is the GCF number.
So the greatest common factor 47835 and 47853 is 9.

Also check out the Least Common Multiple of 47835 and 47853