What is the Greatest Common Factor of 55341 and 55347?

Greatest common factor (GCF) of 55341 and 55347 is 3.

GCF(55341,55347) = 3

We will now calculate the prime factors of 55341 and 55347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55341 and 55347.

How to find the GCF of 55341 and 55347?

We will first find the prime factorization of 55341 and 55347. After we will calculate the factors of 55341 and 55347 and find the biggest common factor number .

Step-1: Prime Factorization of 55341

Prime factors of 55341 are 3, 11, 13, 43. Prime factorization of 55341 in exponential form is:

55341 = 3² × 11¹ × 13¹ × 43¹

Step-2: Prime Factorization of 55347

Prime factors of 55347 are 3, 19, 971. Prime factorization of 55347 in exponential form is:

55347 = 3¹ × 19¹ × 971¹

Step-3: Factors of 55341

List of positive integer factors of 55341 that divides 55341 without a remainder.

1, 3, 9, 11, 13, 33, 39, 43, 99, 117, 129, 143, 387, 429, 473, 559, 1287, 1419, 1677, 4257, 5031, 6149, 18447

Step-4: Factors of 55347

List of positive integer factors of 55347 that divides 55341 without a remainder.

1, 3, 19, 57, 971, 2913, 18449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55341 and 55347. The biggest common factor number is the GCF number.
So the greatest common factor 55341 and 55347 is 3.

Also check out the Least Common Multiple of 55341 and 55347