What is the Greatest Common Factor of 60804 and 60816?

Greatest common factor (GCF) of 60804 and 60816 is 12.

GCF(60804,60816) = 12

We will now calculate the prime factors of 60804 and 60816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60804 and 60816.

How to find the GCF of 60804 and 60816?

We will first find the prime factorization of 60804 and 60816. After we will calculate the factors of 60804 and 60816 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 60816

Prime factors of 60816 are 2, 3, 7, 181. Prime factorization of 60816 in exponential form is:

60816 = 2⁴ × 3¹ × 7¹ × 181¹

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 60816

List of positive integer factors of 60816 that divides 60804 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 181, 336, 362, 543, 724, 1086, 1267, 1448, 2172, 2534, 2896, 3801, 4344, 5068, 7602, 8688, 10136, 15204, 20272, 30408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60804 and 60816. The biggest common factor number is the GCF number.
So the greatest common factor 60804 and 60816 is 12.

Also check out the Least Common Multiple of 60804 and 60816