What is the Greatest Common Factor of 60286 and 60305?

Greatest common factor (GCF) of 60286 and 60305 is 1.

GCF(60286,60305) = 1

We will now calculate the prime factors of 60286 and 60305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60286 and 60305.

How to find the GCF of 60286 and 60305?

We will first find the prime factorization of 60286 and 60305. After we will calculate the factors of 60286 and 60305 and find the biggest common factor number .

Step-1: Prime Factorization of 60286

Prime factors of 60286 are 2, 43, 701. Prime factorization of 60286 in exponential form is:

60286 = 2¹ × 43¹ × 701¹

Step-2: Prime Factorization of 60305

Prime factors of 60305 are 5, 7, 1723. Prime factorization of 60305 in exponential form is:

60305 = 5¹ × 7¹ × 1723¹

Step-3: Factors of 60286

List of positive integer factors of 60286 that divides 60286 without a remainder.

1, 2, 43, 86, 701, 1402, 30143

Step-4: Factors of 60305

List of positive integer factors of 60305 that divides 60286 without a remainder.

1, 5, 7, 35, 1723, 8615, 12061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60286 and 60305. The biggest common factor number is the GCF number.
So the greatest common factor 60286 and 60305 is 1.

Also check out the Least Common Multiple of 60286 and 60305