What is the Greatest Common Factor of 60784 and 60804?

Greatest common factor (GCF) of 60784 and 60804 is 4.

GCF(60784,60804) = 4

We will now calculate the prime factors of 60784 and 60804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60784 and 60804.

How to find the GCF of 60784 and 60804?

We will first find the prime factorization of 60784 and 60804. After we will calculate the factors of 60784 and 60804 and find the biggest common factor number .

Step-1: Prime Factorization of 60784

Prime factors of 60784 are 2, 29, 131. Prime factorization of 60784 in exponential form is:

60784 = 2⁴ × 29¹ × 131¹

Step-2: 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-3: Factors of 60784

List of positive integer factors of 60784 that divides 60784 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 131, 232, 262, 464, 524, 1048, 2096, 3799, 7598, 15196, 30392

Step-4: Factors of 60804

List of positive integer factors of 60804 that divides 60784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60784 and 60804. The biggest common factor number is the GCF number.
So the greatest common factor 60784 and 60804 is 4.

Also check out the Least Common Multiple of 60784 and 60804