What is the Greatest Common Factor of 60804 and 60819?

Greatest common factor (GCF) of 60804 and 60819 is 3.

GCF(60804,60819) = 3

We will now calculate the prime factors of 60804 and 60819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60804 and 60819.

How to find the GCF of 60804 and 60819?

We will first find the prime factorization of 60804 and 60819. After we will calculate the factors of 60804 and 60819 and find the biggest common factor number .

Step-1: Prime Factorization of 60804

Prime factors of 60804 are 2, 3, 563. Prime factorization of 60804 in exponential form is:

60804 = 2² × 3³ × 563¹

Step-2: Prime Factorization of 60819

Prime factors of 60819 are 3, 11, 19, 97. Prime factorization of 60819 in exponential form is:

60819 = 3¹ × 11¹ × 19¹ × 97¹

Step-3: Factors of 60804

List of positive integer factors of 60804 that divides 60804 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 563, 1126, 1689, 2252, 3378, 5067, 6756, 10134, 15201, 20268, 30402

Step-4: Factors of 60819

List of positive integer factors of 60819 that divides 60804 without a remainder.

1, 3, 11, 19, 33, 57, 97, 209, 291, 627, 1067, 1843, 3201, 5529, 20273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60804 and 60819. The biggest common factor number is the GCF number.
So the greatest common factor 60804 and 60819 is 3.

Also check out the Least Common Multiple of 60804 and 60819