What is the Greatest Common Factor of 92991 and 93000?

Greatest common factor (GCF) of 92991 and 93000 is 3.

GCF(92991,93000) = 3

We will now calculate the prime factors of 92991 and 93000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92991 and 93000.

How to find the GCF of 92991 and 93000?

We will first find the prime factorization of 92991 and 93000. After we will calculate the factors of 92991 and 93000 and find the biggest common factor number .

Step-1: Prime Factorization of 92991

Prime factors of 92991 are 3, 139, 223. Prime factorization of 92991 in exponential form is:

92991 = 3¹ × 139¹ × 223¹

Step-2: 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-3: Factors of 92991

List of positive integer factors of 92991 that divides 92991 without a remainder.

1, 3, 139, 223, 417, 669, 30997

Step-4: Factors of 93000

List of positive integer factors of 93000 that divides 92991 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92991 and 93000. The biggest common factor number is the GCF number.
So the greatest common factor 92991 and 93000 is 3.

Also check out the Least Common Multiple of 92991 and 93000