What is the Greatest Common Factor of 60078 and 60092?

Greatest common factor (GCF) of 60078 and 60092 is 2.

GCF(60078,60092) = 2

We will now calculate the prime factors of 60078 and 60092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60078 and 60092.

How to find the GCF of 60078 and 60092?

We will first find the prime factorization of 60078 and 60092. After we will calculate the factors of 60078 and 60092 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 60092

Prime factors of 60092 are 2, 83, 181. Prime factorization of 60092 in exponential form is:

60092 = 2² × 83¹ × 181¹

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 60092

List of positive integer factors of 60092 that divides 60078 without a remainder.

1, 2, 4, 83, 166, 181, 332, 362, 724, 15023, 30046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60078 and 60092. The biggest common factor number is the GCF number.
So the greatest common factor 60078 and 60092 is 2.

Also check out the Least Common Multiple of 60078 and 60092