What is the Greatest Common Factor of 88341 and 88359?

Greatest common factor (GCF) of 88341 and 88359 is 3.

GCF(88341,88359) = 3

We will now calculate the prime factors of 88341 and 88359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88341 and 88359.

How to find the GCF of 88341 and 88359?

We will first find the prime factorization of 88341 and 88359. After we will calculate the factors of 88341 and 88359 and find the biggest common factor number .

Step-1: Prime Factorization of 88341

Prime factors of 88341 are 3, 11, 2677. Prime factorization of 88341 in exponential form is:

88341 = 3¹ × 11¹ × 2677¹

Step-2: Prime Factorization of 88359

Prime factors of 88359 are 3, 29453. Prime factorization of 88359 in exponential form is:

88359 = 3¹ × 29453¹

Step-3: Factors of 88341

List of positive integer factors of 88341 that divides 88341 without a remainder.

1, 3, 11, 33, 2677, 8031, 29447

Step-4: Factors of 88359

List of positive integer factors of 88359 that divides 88341 without a remainder.

1, 3, 29453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88341 and 88359. The biggest common factor number is the GCF number.
So the greatest common factor 88341 and 88359 is 3.

Also check out the Least Common Multiple of 88341 and 88359