What is the Greatest Common Factor of 93012 and 93027?

Greatest common factor (GCF) of 93012 and 93027 is 3.

GCF(93012,93027) = 3

We will now calculate the prime factors of 93012 and 93027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93012 and 93027.

How to find the GCF of 93012 and 93027?

We will first find the prime factorization of 93012 and 93027. After we will calculate the factors of 93012 and 93027 and find the biggest common factor number .

Step-1: Prime Factorization of 93012

Prime factors of 93012 are 2, 3, 23, 337. Prime factorization of 93012 in exponential form is:

93012 = 2² × 3¹ × 23¹ × 337¹

Step-2: Prime Factorization of 93027

Prime factors of 93027 are 3, 11, 2819. Prime factorization of 93027 in exponential form is:

93027 = 3¹ × 11¹ × 2819¹

Step-3: Factors of 93012

List of positive integer factors of 93012 that divides 93012 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 337, 674, 1011, 1348, 2022, 4044, 7751, 15502, 23253, 31004, 46506

Step-4: Factors of 93027

List of positive integer factors of 93027 that divides 93012 without a remainder.

1, 3, 11, 33, 2819, 8457, 31009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93012 and 93027. The biggest common factor number is the GCF number.
So the greatest common factor 93012 and 93027 is 3.

Also check out the Least Common Multiple of 93012 and 93027