What is the Greatest Common Factor of 47996 and 48012?

Greatest common factor (GCF) of 47996 and 48012 is 4.

GCF(47996,48012) = 4

We will now calculate the prime factors of 47996 and 48012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47996 and 48012.

How to find the GCF of 47996 and 48012?

We will first find the prime factorization of 47996 and 48012. After we will calculate the factors of 47996 and 48012 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 48012

Prime factors of 48012 are 2, 3, 4001. Prime factorization of 48012 in exponential form is:

48012 = 2² × 3¹ × 4001¹

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 48012

List of positive integer factors of 48012 that divides 47996 without a remainder.

1, 2, 3, 4, 6, 12, 4001, 8002, 12003, 16004, 24006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47996 and 48012. The biggest common factor number is the GCF number.
So the greatest common factor 47996 and 48012 is 4.

Also check out the Least Common Multiple of 47996 and 48012