What is the Greatest Common Factor of 89301 and 89313?

Greatest common factor (GCF) of 89301 and 89313 is 3.

GCF(89301,89313) = 3

We will now calculate the prime factors of 89301 and 89313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89301 and 89313.

How to find the GCF of 89301 and 89313?

We will first find the prime factorization of 89301 and 89313. After we will calculate the factors of 89301 and 89313 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 89313

Prime factors of 89313 are 3, 7, 4253. Prime factorization of 89313 in exponential form is:

89313 = 3¹ × 7¹ × 4253¹

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 89313

List of positive integer factors of 89313 that divides 89301 without a remainder.

1, 3, 7, 21, 4253, 12759, 29771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89301 and 89313. The biggest common factor number is the GCF number.
So the greatest common factor 89301 and 89313 is 3.

Also check out the Least Common Multiple of 89301 and 89313