What is the Greatest Common Factor of 60064 and 60078?

Greatest common factor (GCF) of 60064 and 60078 is 2.

GCF(60064,60078) = 2

We will now calculate the prime factors of 60064 and 60078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60064 and 60078.

How to find the GCF of 60064 and 60078?

We will first find the prime factorization of 60064 and 60078. After we will calculate the factors of 60064 and 60078 and find the biggest common factor number .

Step-1: Prime Factorization of 60064

Prime factors of 60064 are 2, 1877. Prime factorization of 60064 in exponential form is:

60064 = 2⁵ × 1877¹

Step-2: 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-3: Factors of 60064

List of positive integer factors of 60064 that divides 60064 without a remainder.

1, 2, 4, 8, 16, 32, 1877, 3754, 7508, 15016, 30032

Step-4: Factors of 60078

List of positive integer factors of 60078 that divides 60064 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60064 and 60078. The biggest common factor number is the GCF number.
So the greatest common factor 60064 and 60078 is 2.

Also check out the Least Common Multiple of 60064 and 60078