What is the Greatest Common Factor of 60078 and 60096?

Greatest common factor (GCF) of 60078 and 60096 is 6.

GCF(60078,60096) = 6

We will now calculate the prime factors of 60078 and 60096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60078 and 60096.

How to find the GCF of 60078 and 60096?

We will first find the prime factorization of 60078 and 60096. After we will calculate the factors of 60078 and 60096 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 60096

Prime factors of 60096 are 2, 3, 313. Prime factorization of 60096 in exponential form is:

60096 = 2⁶ × 3¹ × 313¹

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 60096

List of positive integer factors of 60096 that divides 60078 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024, 20032, 30048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60078 and 60096. The biggest common factor number is the GCF number.
So the greatest common factor 60078 and 60096 is 6.

Also check out the Least Common Multiple of 60078 and 60096