What is the Greatest Common Factor of 48072 and 48081?

Greatest common factor (GCF) of 48072 and 48081 is 3.

GCF(48072,48081) = 3

We will now calculate the prime factors of 48072 and 48081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48072 and 48081.

How to find the GCF of 48072 and 48081?

We will first find the prime factorization of 48072 and 48081. After we will calculate the factors of 48072 and 48081 and find the biggest common factor number .

Step-1: Prime Factorization of 48072

Prime factors of 48072 are 2, 3, 2003. Prime factorization of 48072 in exponential form is:

48072 = 2³ × 3¹ × 2003¹

Step-2: Prime Factorization of 48081

Prime factors of 48081 are 3, 11, 31, 47. Prime factorization of 48081 in exponential form is:

48081 = 3¹ × 11¹ × 31¹ × 47¹

Step-3: Factors of 48072

List of positive integer factors of 48072 that divides 48072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2003, 4006, 6009, 8012, 12018, 16024, 24036

Step-4: Factors of 48081

List of positive integer factors of 48081 that divides 48072 without a remainder.

1, 3, 11, 31, 33, 47, 93, 141, 341, 517, 1023, 1457, 1551, 4371, 16027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48072 and 48081. The biggest common factor number is the GCF number.
So the greatest common factor 48072 and 48081 is 3.

Also check out the Least Common Multiple of 48072 and 48081