What is the Greatest Common Factor of 47994 and 48009?

Greatest common factor (GCF) of 47994 and 48009 is 3.

GCF(47994,48009) = 3

We will now calculate the prime factors of 47994 and 48009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47994 and 48009.

How to find the GCF of 47994 and 48009?

We will first find the prime factorization of 47994 and 48009. After we will calculate the factors of 47994 and 48009 and find the biggest common factor number .

Step-1: Prime Factorization of 47994

Prime factors of 47994 are 2, 3, 19, 421. Prime factorization of 47994 in exponential form is:

47994 = 2¹ × 3¹ × 19¹ × 421¹

Step-2: Prime Factorization of 48009

Prime factors of 48009 are 3, 13, 1231. Prime factorization of 48009 in exponential form is:

48009 = 3¹ × 13¹ × 1231¹

Step-3: Factors of 47994

List of positive integer factors of 47994 that divides 47994 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 421, 842, 1263, 2526, 7999, 15998, 23997

Step-4: Factors of 48009

List of positive integer factors of 48009 that divides 47994 without a remainder.

1, 3, 13, 39, 1231, 3693, 16003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47994 and 48009. The biggest common factor number is the GCF number.
So the greatest common factor 47994 and 48009 is 3.

Also check out the Least Common Multiple of 47994 and 48009