What is the Greatest Common Factor of 60059 and 60078?

Greatest common factor (GCF) of 60059 and 60078 is 19.

GCF(60059,60078) = 19

We will now calculate the prime factors of 60059 and 60078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60059 and 60078.

How to find the GCF of 60059 and 60078?

We will first find the prime factorization of 60059 and 60078. After we will calculate the factors of 60059 and 60078 and find the biggest common factor number .

Step-1: Prime Factorization of 60059

Prime factors of 60059 are 19, 29, 109. Prime factorization of 60059 in exponential form is:

60059 = 19¹ × 29¹ × 109¹

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 60059

List of positive integer factors of 60059 that divides 60059 without a remainder.

1, 19, 29, 109, 551, 2071, 3161

Step-4: Factors of 60078

List of positive integer factors of 60078 that divides 60059 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 60059 and 60078. The biggest common factor number is the GCF number.
So the greatest common factor 60059 and 60078 is 19.

Also check out the Least Common Multiple of 60059 and 60078