What is the Greatest Common Factor of 93429 and 93441?

Greatest common factor (GCF) of 93429 and 93441 is 3.

GCF(93429,93441) = 3

We will now calculate the prime factors of 93429 and 93441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93429 and 93441.

How to find the GCF of 93429 and 93441?

We will first find the prime factorization of 93429 and 93441. After we will calculate the factors of 93429 and 93441 and find the biggest common factor number .

Step-1: Prime Factorization of 93429

Prime factors of 93429 are 3, 7, 1483. Prime factorization of 93429 in exponential form is:

93429 = 3² × 7¹ × 1483¹

Step-2: Prime Factorization of 93441

Prime factors of 93441 are 3, 31147. Prime factorization of 93441 in exponential form is:

93441 = 3¹ × 31147¹

Step-3: Factors of 93429

List of positive integer factors of 93429 that divides 93429 without a remainder.

1, 3, 7, 9, 21, 63, 1483, 4449, 10381, 13347, 31143

Step-4: Factors of 93441

List of positive integer factors of 93441 that divides 93429 without a remainder.

1, 3, 31147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93429 and 93441. The biggest common factor number is the GCF number.
So the greatest common factor 93429 and 93441 is 3.

Also check out the Least Common Multiple of 93429 and 93441