What is the Greatest Common Factor of 60790 and 60805?

Greatest common factor (GCF) of 60790 and 60805 is 5.

GCF(60790,60805) = 5

We will now calculate the prime factors of 60790 and 60805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60790 and 60805.

How to find the GCF of 60790 and 60805?

We will first find the prime factorization of 60790 and 60805. After we will calculate the factors of 60790 and 60805 and find the biggest common factor number .

Step-1: Prime Factorization of 60790

Prime factors of 60790 are 2, 5, 6079. Prime factorization of 60790 in exponential form is:

60790 = 2¹ × 5¹ × 6079¹

Step-2: Prime Factorization of 60805

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

60805 = 5¹ × 12161¹

Step-3: Factors of 60790

List of positive integer factors of 60790 that divides 60790 without a remainder.

1, 2, 5, 10, 6079, 12158, 30395

Step-4: Factors of 60805

List of positive integer factors of 60805 that divides 60790 without a remainder.

1, 5, 12161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60790 and 60805. The biggest common factor number is the GCF number.
So the greatest common factor 60790 and 60805 is 5.

Also check out the Least Common Multiple of 60790 and 60805