What is the Greatest Common Factor of 88431 and 88443?

Greatest common factor (GCF) of 88431 and 88443 is 3.

GCF(88431,88443) = 3

We will now calculate the prime factors of 88431 and 88443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88431 and 88443.

How to find the GCF of 88431 and 88443?

We will first find the prime factorization of 88431 and 88443. After we will calculate the factors of 88431 and 88443 and find the biggest common factor number .

Step-1: Prime Factorization of 88431

Prime factors of 88431 are 3, 7, 4211. Prime factorization of 88431 in exponential form is:

88431 = 3¹ × 7¹ × 4211¹

Step-2: 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-3: Factors of 88431

List of positive integer factors of 88431 that divides 88431 without a remainder.

1, 3, 7, 21, 4211, 12633, 29477

Step-4: Factors of 88443

List of positive integer factors of 88443 that divides 88431 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88431 and 88443. The biggest common factor number is the GCF number.
So the greatest common factor 88431 and 88443 is 3.

Also check out the Least Common Multiple of 88431 and 88443