What is the Greatest Common Factor of 48100 and 48119?

Greatest common factor (GCF) of 48100 and 48119 is 1.

GCF(48100,48119) = 1

We will now calculate the prime factors of 48100 and 48119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48100 and 48119.

How to find the GCF of 48100 and 48119?

We will first find the prime factorization of 48100 and 48119. After we will calculate the factors of 48100 and 48119 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 48119

Prime factors of 48119 are 48119. Prime factorization of 48119 in exponential form is:

48119 = 48119¹

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 48119

List of positive integer factors of 48119 that divides 48100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48100 and 48119. The biggest common factor number is the GCF number.
So the greatest common factor 48100 and 48119 is 1.

Also check out the Least Common Multiple of 48100 and 48119