What is the Greatest Common Factor of 47996 and 48005?

Greatest common factor (GCF) of 47996 and 48005 is 1.

GCF(47996,48005) = 1

We will now calculate the prime factors of 47996 and 48005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47996 and 48005.

How to find the GCF of 47996 and 48005?

We will first find the prime factorization of 47996 and 48005. After we will calculate the factors of 47996 and 48005 and find the biggest common factor number .

Step-1: Prime Factorization of 47996

Prime factors of 47996 are 2, 13, 71. Prime factorization of 47996 in exponential form is:

47996 = 2² × 13² × 71¹

Step-2: Prime Factorization of 48005

Prime factors of 48005 are 5, 9601. Prime factorization of 48005 in exponential form is:

48005 = 5¹ × 9601¹

Step-3: Factors of 47996

List of positive integer factors of 47996 that divides 47996 without a remainder.

1, 2, 4, 13, 26, 52, 71, 142, 169, 284, 338, 676, 923, 1846, 3692, 11999, 23998

Step-4: Factors of 48005

List of positive integer factors of 48005 that divides 47996 without a remainder.

1, 5, 9601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47996 and 48005. The biggest common factor number is the GCF number.
So the greatest common factor 47996 and 48005 is 1.

Also check out the Least Common Multiple of 47996 and 48005