What is the Greatest Common Factor of 55205 and 55211?

Greatest common factor (GCF) of 55205 and 55211 is 1.

GCF(55205,55211) = 1

We will now calculate the prime factors of 55205 and 55211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55205 and 55211.

How to find the GCF of 55205 and 55211?

We will first find the prime factorization of 55205 and 55211. After we will calculate the factors of 55205 and 55211 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 55211

Prime factors of 55211 are 13, 31, 137. Prime factorization of 55211 in exponential form is:

55211 = 13¹ × 31¹ × 137¹

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 55211

List of positive integer factors of 55211 that divides 55205 without a remainder.

1, 13, 31, 137, 403, 1781, 4247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55205 and 55211. The biggest common factor number is the GCF number.
So the greatest common factor 55205 and 55211 is 1.

Also check out the Least Common Multiple of 55205 and 55211