What is the Greatest Common Factor of 61205 and 61223?

Greatest common factor (GCF) of 61205 and 61223 is 1.

GCF(61205,61223) = 1

We will now calculate the prime factors of 61205 and 61223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61205 and 61223.

How to find the GCF of 61205 and 61223?

We will first find the prime factorization of 61205 and 61223. After we will calculate the factors of 61205 and 61223 and find the biggest common factor number .

Step-1: Prime Factorization of 61205

Prime factors of 61205 are 5, 12241. Prime factorization of 61205 in exponential form is:

61205 = 5¹ × 12241¹

Step-2: Prime Factorization of 61223

Prime factors of 61223 are 61223. Prime factorization of 61223 in exponential form is:

61223 = 61223¹

Step-3: Factors of 61205

List of positive integer factors of 61205 that divides 61205 without a remainder.

1, 5, 12241

Step-4: Factors of 61223

List of positive integer factors of 61223 that divides 61205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61205 and 61223. The biggest common factor number is the GCF number.
So the greatest common factor 61205 and 61223 is 1.

Also check out the Least Common Multiple of 61205 and 61223