What is the Greatest Common Factor of 60805 and 60815?

Greatest common factor (GCF) of 60805 and 60815 is 5.

GCF(60805,60815) = 5

We will now calculate the prime factors of 60805 and 60815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60805 and 60815.

How to find the GCF of 60805 and 60815?

We will first find the prime factorization of 60805 and 60815. After we will calculate the factors of 60805 and 60815 and find the biggest common factor number .

Step-1: Prime Factorization of 60805

Prime factors of 60805 are 5, 12161. Prime factorization of 60805 in exponential form is:

60805 = 5¹ × 12161¹

Step-2: Prime Factorization of 60815

Prime factors of 60815 are 5, 12163. Prime factorization of 60815 in exponential form is:

60815 = 5¹ × 12163¹

Step-3: Factors of 60805

List of positive integer factors of 60805 that divides 60805 without a remainder.

1, 5, 12161

Step-4: Factors of 60815

List of positive integer factors of 60815 that divides 60805 without a remainder.

1, 5, 12163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60805 and 60815. The biggest common factor number is the GCF number.
So the greatest common factor 60805 and 60815 is 5.

Also check out the Least Common Multiple of 60805 and 60815