What is the Greatest Common Factor of 61205 and 61224?

Greatest common factor (GCF) of 61205 and 61224 is 1.

GCF(61205,61224) = 1

We will now calculate the prime factors of 61205 and 61224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61205 and 61224.

How to find the GCF of 61205 and 61224?

We will first find the prime factorization of 61205 and 61224. After we will calculate the factors of 61205 and 61224 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 61224

Prime factors of 61224 are 2, 3, 2551. Prime factorization of 61224 in exponential form is:

61224 = 2³ × 3¹ × 2551¹

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 61224

List of positive integer factors of 61224 that divides 61205 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2551, 5102, 7653, 10204, 15306, 20408, 30612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61205 and 61224. The biggest common factor number is the GCF number.
So the greatest common factor 61205 and 61224 is 1.

Also check out the Least Common Multiple of 61205 and 61224