What is the Greatest Common Factor of 89199 and 89214?

Greatest common factor (GCF) of 89199 and 89214 is 3.

GCF(89199,89214) = 3

We will now calculate the prime factors of 89199 and 89214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89199 and 89214.

How to find the GCF of 89199 and 89214?

We will first find the prime factorization of 89199 and 89214. After we will calculate the factors of 89199 and 89214 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89214

Prime factors of 89214 are 2, 3, 14869. Prime factorization of 89214 in exponential form is:

89214 = 2¹ × 3¹ × 14869¹

Step-3: Factors of 89199

List of positive integer factors of 89199 that divides 89199 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

Step-4: Factors of 89214

List of positive integer factors of 89214 that divides 89199 without a remainder.

1, 2, 3, 6, 14869, 29738, 44607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89199 and 89214. The biggest common factor number is the GCF number.
So the greatest common factor 89199 and 89214 is 3.

Also check out the Least Common Multiple of 89199 and 89214