What is the Greatest Common Factor of 47994 and 48003?

Greatest common factor (GCF) of 47994 and 48003 is 3.

GCF(47994,48003) = 3

We will now calculate the prime factors of 47994 and 48003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47994 and 48003.

How to find the GCF of 47994 and 48003?

We will first find the prime factorization of 47994 and 48003. After we will calculate the factors of 47994 and 48003 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 48003

Prime factors of 48003 are 3, 16001. Prime factorization of 48003 in exponential form is:

48003 = 3¹ × 16001¹

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 48003

List of positive integer factors of 48003 that divides 47994 without a remainder.

1, 3, 16001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47994 and 48003. The biggest common factor number is the GCF number.
So the greatest common factor 47994 and 48003 is 3.

Also check out the Least Common Multiple of 47994 and 48003