What is the Greatest Common Factor of 93000 and 93012?

Greatest common factor (GCF) of 93000 and 93012 is 12.

GCF(93000,93012) = 12

We will now calculate the prime factors of 93000 and 93012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93000 and 93012.

How to find the GCF of 93000 and 93012?

We will first find the prime factorization of 93000 and 93012. After we will calculate the factors of 93000 and 93012 and find the biggest common factor number .

Step-1: Prime Factorization of 93000

Prime factors of 93000 are 2, 3, 5, 31. Prime factorization of 93000 in exponential form is:

93000 = 2³ × 3¹ × 5³ × 31¹

Step-2: 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-3: Factors of 93000

List of positive integer factors of 93000 that divides 93000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 31, 40, 50, 60, 62, 75, 93, 100, 120, 124, 125, 150, 155, 186, 200, 248, 250, 300, 310, 372, 375, 465, 500, 600, 620, 744, 750, 775, 930, 1000, 1240, 1500, 1550, 1860, 2325, 3000, 3100, 3720, 3875, 4650, 6200, 7750, 9300, 11625, 15500, 18600, 23250, 31000, 46500

Step-4: Factors of 93012

List of positive integer factors of 93012 that divides 93000 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93000 and 93012. The biggest common factor number is the GCF number.
So the greatest common factor 93000 and 93012 is 12.

Also check out the Least Common Multiple of 93000 and 93012