What is the Greatest Common Factor of 48100 and 48110?

Greatest common factor (GCF) of 48100 and 48110 is 10.

GCF(48100,48110) = 10

We will now calculate the prime factors of 48100 and 48110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48100 and 48110.

How to find the GCF of 48100 and 48110?

We will first find the prime factorization of 48100 and 48110. After we will calculate the factors of 48100 and 48110 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 48110

Prime factors of 48110 are 2, 5, 17, 283. Prime factorization of 48110 in exponential form is:

48110 = 2¹ × 5¹ × 17¹ × 283¹

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 48110

List of positive integer factors of 48110 that divides 48100 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 283, 566, 1415, 2830, 4811, 9622, 24055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48100 and 48110. The biggest common factor number is the GCF number.
So the greatest common factor 48100 and 48110 is 10.

Also check out the Least Common Multiple of 48100 and 48110