What is the Greatest Common Factor of 89301 and 89307?

Greatest common factor (GCF) of 89301 and 89307 is 3.

GCF(89301,89307) = 3

We will now calculate the prime factors of 89301 and 89307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89301 and 89307.

How to find the GCF of 89301 and 89307?

We will first find the prime factorization of 89301 and 89307. After we will calculate the factors of 89301 and 89307 and find the biggest common factor number .

Step-1: Prime Factorization of 89301

Prime factors of 89301 are 3, 17, 103. Prime factorization of 89301 in exponential form is:

89301 = 3¹ × 17² × 103¹

Step-2: Prime Factorization of 89307

Prime factors of 89307 are 3, 9923. Prime factorization of 89307 in exponential form is:

89307 = 3² × 9923¹

Step-3: Factors of 89301

List of positive integer factors of 89301 that divides 89301 without a remainder.

1, 3, 17, 51, 103, 289, 309, 867, 1751, 5253, 29767

Step-4: Factors of 89307

List of positive integer factors of 89307 that divides 89301 without a remainder.

1, 3, 9, 9923, 29769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89301 and 89307. The biggest common factor number is the GCF number.
So the greatest common factor 89301 and 89307 is 3.

Also check out the Least Common Multiple of 89301 and 89307