What is the Greatest Common Factor of 55107 and 55119?

Greatest common factor (GCF) of 55107 and 55119 is 3.

GCF(55107,55119) = 3

We will now calculate the prime factors of 55107 and 55119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55107 and 55119.

How to find the GCF of 55107 and 55119?

We will first find the prime factorization of 55107 and 55119. After we will calculate the factors of 55107 and 55119 and find the biggest common factor number .

Step-1: Prime Factorization of 55107

Prime factors of 55107 are 3, 13, 157. Prime factorization of 55107 in exponential form is:

55107 = 3³ × 13¹ × 157¹

Step-2: Prime Factorization of 55119

Prime factors of 55119 are 3, 19, 967. Prime factorization of 55119 in exponential form is:

55119 = 3¹ × 19¹ × 967¹

Step-3: Factors of 55107

List of positive integer factors of 55107 that divides 55107 without a remainder.

1, 3, 9, 13, 27, 39, 117, 157, 351, 471, 1413, 2041, 4239, 6123, 18369

Step-4: Factors of 55119

List of positive integer factors of 55119 that divides 55107 without a remainder.

1, 3, 19, 57, 967, 2901, 18373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55107 and 55119. The biggest common factor number is the GCF number.
So the greatest common factor 55107 and 55119 is 3.

Also check out the Least Common Multiple of 55107 and 55119