What is the Greatest Common Factor of 60078 and 60095?

Greatest common factor (GCF) of 60078 and 60095 is 17.

GCF(60078,60095) = 17

We will now calculate the prime factors of 60078 and 60095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60078 and 60095.

How to find the GCF of 60078 and 60095?

We will first find the prime factorization of 60078 and 60095. After we will calculate the factors of 60078 and 60095 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 60095

Prime factors of 60095 are 5, 7, 17, 101. Prime factorization of 60095 in exponential form is:

60095 = 5¹ × 7¹ × 17¹ × 101¹

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 60095

List of positive integer factors of 60095 that divides 60078 without a remainder.

1, 5, 7, 17, 35, 85, 101, 119, 505, 595, 707, 1717, 3535, 8585, 12019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60078 and 60095. The biggest common factor number is the GCF number.
So the greatest common factor 60078 and 60095 is 17.

Also check out the Least Common Multiple of 60078 and 60095