What is the Greatest Common Factor of 47994 and 48001?

Greatest common factor (GCF) of 47994 and 48001 is 1.

GCF(47994,48001) = 1

We will now calculate the prime factors of 47994 and 48001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47994 and 48001.

How to find the GCF of 47994 and 48001?

We will first find the prime factorization of 47994 and 48001. After we will calculate the factors of 47994 and 48001 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 48001

Prime factors of 48001 are 23, 2087. Prime factorization of 48001 in exponential form is:

48001 = 23¹ × 2087¹

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 48001

List of positive integer factors of 48001 that divides 47994 without a remainder.

1, 23, 2087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47994 and 48001. The biggest common factor number is the GCF number.
So the greatest common factor 47994 and 48001 is 1.

Also check out the Least Common Multiple of 47994 and 48001