What is the Greatest Common Factor of 48100 and 48115?

Greatest common factor (GCF) of 48100 and 48115 is 5.

GCF(48100,48115) = 5

We will now calculate the prime factors of 48100 and 48115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48100 and 48115.

How to find the GCF of 48100 and 48115?

We will first find the prime factorization of 48100 and 48115. After we will calculate the factors of 48100 and 48115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48115

Prime factors of 48115 are 5, 9623. Prime factorization of 48115 in exponential form is:

48115 = 5¹ × 9623¹

Step-3: Factors of 48100

List of positive integer factors of 48100 that divides 48100 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

Step-4: Factors of 48115

List of positive integer factors of 48115 that divides 48100 without a remainder.

1, 5, 9623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48100 and 48115. The biggest common factor number is the GCF number.
So the greatest common factor 48100 and 48115 is 5.

Also check out the Least Common Multiple of 48100 and 48115