What is the Greatest Common Factor of 89193 and 89199?

Greatest common factor (GCF) of 89193 and 89199 is 3.

GCF(89193,89199) = 3

We will now calculate the prime factors of 89193 and 89199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89193 and 89199.

How to find the GCF of 89193 and 89199?

We will first find the prime factorization of 89193 and 89199. After we will calculate the factors of 89193 and 89199 and find the biggest common factor number .

Step-1: Prime Factorization of 89193

Prime factors of 89193 are 3, 13, 2287. Prime factorization of 89193 in exponential form is:

89193 = 3¹ × 13¹ × 2287¹

Step-2: Prime Factorization of 89199

Prime factors of 89199 are 3, 11, 17, 53. Prime factorization of 89199 in exponential form is:

89199 = 3² × 11¹ × 17¹ × 53¹

Step-3: Factors of 89193

List of positive integer factors of 89193 that divides 89193 without a remainder.

1, 3, 13, 39, 2287, 6861, 29731

Step-4: Factors of 89199

List of positive integer factors of 89199 that divides 89193 without a remainder.

1, 3, 9, 11, 17, 33, 51, 53, 99, 153, 159, 187, 477, 561, 583, 901, 1683, 1749, 2703, 5247, 8109, 9911, 29733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89193 and 89199. The biggest common factor number is the GCF number.
So the greatest common factor 89193 and 89199 is 3.

Also check out the Least Common Multiple of 89193 and 89199