What is the Greatest Common Factor of 55182 and 55197?

Greatest common factor (GCF) of 55182 and 55197 is 3.

GCF(55182,55197) = 3

We will now calculate the prime factors of 55182 and 55197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55182 and 55197.

How to find the GCF of 55182 and 55197?

We will first find the prime factorization of 55182 and 55197. After we will calculate the factors of 55182 and 55197 and find the biggest common factor number .

Step-1: Prime Factorization of 55182

Prime factors of 55182 are 2, 3, 17, 541. Prime factorization of 55182 in exponential form is:

55182 = 2¹ × 3¹ × 17¹ × 541¹

Step-2: Prime Factorization of 55197

Prime factors of 55197 are 3, 6133. Prime factorization of 55197 in exponential form is:

55197 = 3² × 6133¹

Step-3: Factors of 55182

List of positive integer factors of 55182 that divides 55182 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 541, 1082, 1623, 3246, 9197, 18394, 27591

Step-4: Factors of 55197

List of positive integer factors of 55197 that divides 55182 without a remainder.

1, 3, 9, 6133, 18399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55182 and 55197. The biggest common factor number is the GCF number.
So the greatest common factor 55182 and 55197 is 3.

Also check out the Least Common Multiple of 55182 and 55197