What is the Greatest Common Factor of 55114 and 55131?

Greatest common factor (GCF) of 55114 and 55131 is 17.

GCF(55114,55131) = 17

We will now calculate the prime factors of 55114 and 55131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55114 and 55131.

How to find the GCF of 55114 and 55131?

We will first find the prime factorization of 55114 and 55131. After we will calculate the factors of 55114 and 55131 and find the biggest common factor number .

Step-1: Prime Factorization of 55114

Prime factors of 55114 are 2, 17, 1621. Prime factorization of 55114 in exponential form is:

55114 = 2¹ × 17¹ × 1621¹

Step-2: 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-3: Factors of 55114

List of positive integer factors of 55114 that divides 55114 without a remainder.

1, 2, 17, 34, 1621, 3242, 27557

Step-4: Factors of 55131

List of positive integer factors of 55131 that divides 55114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55114 and 55131. The biggest common factor number is the GCF number.
So the greatest common factor 55114 and 55131 is 17.

Also check out the Least Common Multiple of 55114 and 55131