What is the Greatest Common Factor of 48110 and 48127?

Greatest common factor (GCF) of 48110 and 48127 is 17.

GCF(48110,48127) = 17

We will now calculate the prime factors of 48110 and 48127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48110 and 48127.

How to find the GCF of 48110 and 48127?

We will first find the prime factorization of 48110 and 48127. After we will calculate the factors of 48110 and 48127 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48127

Prime factors of 48127 are 17, 19, 149. Prime factorization of 48127 in exponential form is:

48127 = 17¹ × 19¹ × 149¹

Step-3: Factors of 48110

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

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

Step-4: Factors of 48127

List of positive integer factors of 48127 that divides 48110 without a remainder.

1, 17, 19, 149, 323, 2533, 2831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48110 and 48127. The biggest common factor number is the GCF number.
So the greatest common factor 48110 and 48127 is 17.

Also check out the Least Common Multiple of 48110 and 48127