What is the Greatest Common Factor of 47984 and 48002?

Greatest common factor (GCF) of 47984 and 48002 is 2.

GCF(47984,48002) = 2

We will now calculate the prime factors of 47984 and 48002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47984 and 48002.

How to find the GCF of 47984 and 48002?

We will first find the prime factorization of 47984 and 48002. After we will calculate the factors of 47984 and 48002 and find the biggest common factor number .

Step-1: Prime Factorization of 47984

Prime factors of 47984 are 2, 2999. Prime factorization of 47984 in exponential form is:

47984 = 2⁴ × 2999¹

Step-2: Prime Factorization of 48002

Prime factors of 48002 are 2, 24001. Prime factorization of 48002 in exponential form is:

48002 = 2¹ × 24001¹

Step-3: Factors of 47984

List of positive integer factors of 47984 that divides 47984 without a remainder.

1, 2, 4, 8, 16, 2999, 5998, 11996, 23992

Step-4: Factors of 48002

List of positive integer factors of 48002 that divides 47984 without a remainder.

1, 2, 24001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47984 and 48002. The biggest common factor number is the GCF number.
So the greatest common factor 47984 and 48002 is 2.

Also check out the Least Common Multiple of 47984 and 48002