What is the Greatest Common Factor of 60795 and 60809?

Greatest common factor (GCF) of 60795 and 60809 is 7.

GCF(60795,60809) = 7

We will now calculate the prime factors of 60795 and 60809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60795 and 60809.

How to find the GCF of 60795 and 60809?

We will first find the prime factorization of 60795 and 60809. After we will calculate the factors of 60795 and 60809 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 60809

Prime factors of 60809 are 7, 17, 73. Prime factorization of 60809 in exponential form is:

60809 = 7² × 17¹ × 73¹

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 60809

List of positive integer factors of 60809 that divides 60795 without a remainder.

1, 7, 17, 49, 73, 119, 511, 833, 1241, 3577, 8687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60795 and 60809. The biggest common factor number is the GCF number.
So the greatest common factor 60795 and 60809 is 7.

Also check out the Least Common Multiple of 60795 and 60809