What is the Greatest Common Factor of 48081 and 48100?

Greatest common factor (GCF) of 48081 and 48100 is 1.

GCF(48081,48100) = 1

We will now calculate the prime factors of 48081 and 48100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48081 and 48100.

How to find the GCF of 48081 and 48100?

We will first find the prime factorization of 48081 and 48100. After we will calculate the factors of 48081 and 48100 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48100

Prime factors of 48100 are 2, 5, 13, 37. Prime factorization of 48100 in exponential form is:

48100 = 2² × 5² × 13¹ × 37¹

Step-3: Factors of 48081

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

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

Step-4: Factors of 48100

List of positive integer factors of 48100 that divides 48081 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 37, 50, 52, 65, 74, 100, 130, 148, 185, 260, 325, 370, 481, 650, 740, 925, 962, 1300, 1850, 1924, 2405, 3700, 4810, 9620, 12025, 24050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48081 and 48100. The biggest common factor number is the GCF number.
So the greatest common factor 48081 and 48100 is 1.

Also check out the Least Common Multiple of 48081 and 48100