What is the Greatest Common Factor of 60795 and 60813?

Greatest common factor (GCF) of 60795 and 60813 is 9.

GCF(60795,60813) = 9

We will now calculate the prime factors of 60795 and 60813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60795 and 60813.

How to find the GCF of 60795 and 60813?

We will first find the prime factorization of 60795 and 60813. After we will calculate the factors of 60795 and 60813 and find the biggest common factor number .

Step-1: Prime Factorization of 60795

Prime factors of 60795 are 3, 5, 7, 193. Prime factorization of 60795 in exponential form is:

60795 = 3² × 5¹ × 7¹ × 193¹

Step-2: Prime Factorization of 60813

Prime factors of 60813 are 3, 29, 233. Prime factorization of 60813 in exponential form is:

60813 = 3² × 29¹ × 233¹

Step-3: Factors of 60795

List of positive integer factors of 60795 that divides 60795 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 193, 315, 579, 965, 1351, 1737, 2895, 4053, 6755, 8685, 12159, 20265

Step-4: Factors of 60813

List of positive integer factors of 60813 that divides 60795 without a remainder.

1, 3, 9, 29, 87, 233, 261, 699, 2097, 6757, 20271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60795 and 60813. The biggest common factor number is the GCF number.
So the greatest common factor 60795 and 60813 is 9.

Also check out the Least Common Multiple of 60795 and 60813