What is the Greatest Common Factor of 93087 and 93096?

Greatest common factor (GCF) of 93087 and 93096 is 9.

GCF(93087,93096) = 9

We will now calculate the prime factors of 93087 and 93096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93087 and 93096.

How to find the GCF of 93087 and 93096?

We will first find the prime factorization of 93087 and 93096. After we will calculate the factors of 93087 and 93096 and find the biggest common factor number .

Step-1: Prime Factorization of 93087

Prime factors of 93087 are 3, 10343. Prime factorization of 93087 in exponential form is:

93087 = 3² × 10343¹

Step-2: Prime Factorization of 93096

Prime factors of 93096 are 2, 3, 431. Prime factorization of 93096 in exponential form is:

93096 = 2³ × 3³ × 431¹

Step-3: Factors of 93087

List of positive integer factors of 93087 that divides 93087 without a remainder.

1, 3, 9, 10343, 31029

Step-4: Factors of 93096

List of positive integer factors of 93096 that divides 93087 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 7758, 10344, 11637, 15516, 23274, 31032, 46548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93087 and 93096. The biggest common factor number is the GCF number.
So the greatest common factor 93087 and 93096 is 9.

Also check out the Least Common Multiple of 93087 and 93096