What is the Greatest Common Factor of 55205 and 55212?

Greatest common factor (GCF) of 55205 and 55212 is 1.

GCF(55205,55212) = 1

We will now calculate the prime factors of 55205 and 55212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55205 and 55212.

How to find the GCF of 55205 and 55212?

We will first find the prime factorization of 55205 and 55212. After we will calculate the factors of 55205 and 55212 and find the biggest common factor number .

Step-1: Prime Factorization of 55205

Prime factors of 55205 are 5, 61, 181. Prime factorization of 55205 in exponential form is:

55205 = 5¹ × 61¹ × 181¹

Step-2: Prime Factorization of 55212

Prime factors of 55212 are 2, 3, 43, 107. Prime factorization of 55212 in exponential form is:

55212 = 2² × 3¹ × 43¹ × 107¹

Step-3: Factors of 55205

List of positive integer factors of 55205 that divides 55205 without a remainder.

1, 5, 61, 181, 305, 905, 11041

Step-4: Factors of 55212

List of positive integer factors of 55212 that divides 55205 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 107, 129, 172, 214, 258, 321, 428, 516, 642, 1284, 4601, 9202, 13803, 18404, 27606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55205 and 55212. The biggest common factor number is the GCF number.
So the greatest common factor 55205 and 55212 is 1.

Also check out the Least Common Multiple of 55205 and 55212