What is the Greatest Common Factor of 48095 and 48100?

Greatest common factor (GCF) of 48095 and 48100 is 5.

GCF(48095,48100) = 5

We will now calculate the prime factors of 48095 and 48100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48095 and 48100.

How to find the GCF of 48095 and 48100?

We will first find the prime factorization of 48095 and 48100. After we will calculate the factors of 48095 and 48100 and find the biggest common factor number .

Step-1: Prime Factorization of 48095

Prime factors of 48095 are 5, 9619. Prime factorization of 48095 in exponential form is:

48095 = 5¹ × 9619¹

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 48095

List of positive integer factors of 48095 that divides 48095 without a remainder.

1, 5, 9619

Step-4: Factors of 48100

List of positive integer factors of 48100 that divides 48095 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 48095 and 48100. The biggest common factor number is the GCF number.
So the greatest common factor 48095 and 48100 is 5.

Also check out the Least Common Multiple of 48095 and 48100