What is the Greatest Common Factor of 93000 and 93015?

Greatest common factor (GCF) of 93000 and 93015 is 15.

GCF(93000,93015) = 15

We will now calculate the prime factors of 93000 and 93015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93000 and 93015.

How to find the GCF of 93000 and 93015?

We will first find the prime factorization of 93000 and 93015. After we will calculate the factors of 93000 and 93015 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 93015

Prime factors of 93015 are 3, 5, 13, 53. Prime factorization of 93015 in exponential form is:

93015 = 3³ × 5¹ × 13¹ × 53¹

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 93015

List of positive integer factors of 93015 that divides 93000 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 53, 65, 117, 135, 159, 195, 265, 351, 477, 585, 689, 795, 1431, 1755, 2067, 2385, 3445, 6201, 7155, 10335, 18603, 31005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93000 and 93015. The biggest common factor number is the GCF number.
So the greatest common factor 93000 and 93015 is 15.

Also check out the Least Common Multiple of 93000 and 93015