What is the Greatest Common Factor of 47996 and 48009?

Greatest common factor (GCF) of 47996 and 48009 is 13.

GCF(47996,48009) = 13

We will now calculate the prime factors of 47996 and 48009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47996 and 48009.

How to find the GCF of 47996 and 48009?

We will first find the prime factorization of 47996 and 48009. After we will calculate the factors of 47996 and 48009 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 48009

Prime factors of 48009 are 3, 13, 1231. Prime factorization of 48009 in exponential form is:

48009 = 3¹ × 13¹ × 1231¹

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 48009

List of positive integer factors of 48009 that divides 47996 without a remainder.

1, 3, 13, 39, 1231, 3693, 16003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47996 and 48009. The biggest common factor number is the GCF number.
So the greatest common factor 47996 and 48009 is 13.

Also check out the Least Common Multiple of 47996 and 48009