What is the Greatest Common Factor of 88443 and 88461?

Greatest common factor (GCF) of 88443 and 88461 is 9.

GCF(88443,88461) = 9

We will now calculate the prime factors of 88443 and 88461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88443 and 88461.

How to find the GCF of 88443 and 88461?

We will first find the prime factorization of 88443 and 88461. After we will calculate the factors of 88443 and 88461 and find the biggest common factor number .

Step-1: Prime Factorization of 88443

Prime factors of 88443 are 3, 31, 317. Prime factorization of 88443 in exponential form is:

88443 = 3² × 31¹ × 317¹

Step-2: Prime Factorization of 88461

Prime factors of 88461 are 3, 9829. Prime factorization of 88461 in exponential form is:

88461 = 3² × 9829¹

Step-3: Factors of 88443

List of positive integer factors of 88443 that divides 88443 without a remainder.

1, 3, 9, 31, 93, 279, 317, 951, 2853, 9827, 29481

Step-4: Factors of 88461

List of positive integer factors of 88461 that divides 88443 without a remainder.

1, 3, 9, 9829, 29487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88443 and 88461. The biggest common factor number is the GCF number.
So the greatest common factor 88443 and 88461 is 9.

Also check out the Least Common Multiple of 88443 and 88461