What is the Greatest Common Factor of 55131 and 55148?

Greatest common factor (GCF) of 55131 and 55148 is 17.

GCF(55131,55148) = 17

We will now calculate the prime factors of 55131 and 55148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55131 and 55148.

How to find the GCF of 55131 and 55148?

We will first find the prime factorization of 55131 and 55148. After we will calculate the factors of 55131 and 55148 and find the biggest common factor number .

Step-1: Prime Factorization of 55131

Prime factors of 55131 are 3, 17, 23, 47. Prime factorization of 55131 in exponential form is:

55131 = 3¹ × 17¹ × 23¹ × 47¹

Step-2: Prime Factorization of 55148

Prime factors of 55148 are 2, 17, 811. Prime factorization of 55148 in exponential form is:

55148 = 2² × 17¹ × 811¹

Step-3: Factors of 55131

List of positive integer factors of 55131 that divides 55131 without a remainder.

1, 3, 17, 23, 47, 51, 69, 141, 391, 799, 1081, 1173, 2397, 3243, 18377

Step-4: Factors of 55148

List of positive integer factors of 55148 that divides 55131 without a remainder.

1, 2, 4, 17, 34, 68, 811, 1622, 3244, 13787, 27574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55131 and 55148. The biggest common factor number is the GCF number.
So the greatest common factor 55131 and 55148 is 17.

Also check out the Least Common Multiple of 55131 and 55148