What is the Greatest Common Factor of 47979 and 47997?

Greatest common factor (GCF) of 47979 and 47997 is 9.

GCF(47979,47997) = 9

We will now calculate the prime factors of 47979 and 47997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47979 and 47997.

How to find the GCF of 47979 and 47997?

We will first find the prime factorization of 47979 and 47997. After we will calculate the factors of 47979 and 47997 and find the biggest common factor number .

Step-1: Prime Factorization of 47979

Prime factors of 47979 are 3, 1777. Prime factorization of 47979 in exponential form is:

47979 = 3³ × 1777¹

Step-2: Prime Factorization of 47997

Prime factors of 47997 are 3, 5333. Prime factorization of 47997 in exponential form is:

47997 = 3² × 5333¹

Step-3: Factors of 47979

List of positive integer factors of 47979 that divides 47979 without a remainder.

1, 3, 9, 27, 1777, 5331, 15993

Step-4: Factors of 47997

List of positive integer factors of 47997 that divides 47979 without a remainder.

1, 3, 9, 5333, 15999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47979 and 47997. The biggest common factor number is the GCF number.
So the greatest common factor 47979 and 47997 is 9.

Also check out the Least Common Multiple of 47979 and 47997