What is the Greatest Common Factor of 60078 and 60084?

Greatest common factor (GCF) of 60078 and 60084 is 6.

GCF(60078,60084) = 6

We will now calculate the prime factors of 60078 and 60084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60078 and 60084.

How to find the GCF of 60078 and 60084?

We will first find the prime factorization of 60078 and 60084. After we will calculate the factors of 60078 and 60084 and find the biggest common factor number .

Step-1: Prime Factorization of 60078

Prime factors of 60078 are 2, 3, 17, 19, 31. Prime factorization of 60078 in exponential form is:

60078 = 2¹ × 3¹ × 17¹ × 19¹ × 31¹

Step-2: Prime Factorization of 60084

Prime factors of 60084 are 2, 3, 1669. Prime factorization of 60084 in exponential form is:

60084 = 2² × 3² × 1669¹

Step-3: Factors of 60078

List of positive integer factors of 60078 that divides 60078 without a remainder.

1, 2, 3, 6, 17, 19, 31, 34, 38, 51, 57, 62, 93, 102, 114, 186, 323, 527, 589, 646, 969, 1054, 1178, 1581, 1767, 1938, 3162, 3534, 10013, 20026, 30039

Step-4: Factors of 60084

List of positive integer factors of 60084 that divides 60078 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1669, 3338, 5007, 6676, 10014, 15021, 20028, 30042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60078 and 60084. The biggest common factor number is the GCF number.
So the greatest common factor 60078 and 60084 is 6.

Also check out the Least Common Multiple of 60078 and 60084