What is the Greatest Common Factor of 88389 and 88401?

Greatest common factor (GCF) of 88389 and 88401 is 3.

GCF(88389,88401) = 3

We will now calculate the prime factors of 88389 and 88401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88389 and 88401.

How to find the GCF of 88389 and 88401?

We will first find the prime factorization of 88389 and 88401. After we will calculate the factors of 88389 and 88401 and find the biggest common factor number .

Step-1: Prime Factorization of 88389

Prime factors of 88389 are 3, 7, 23, 61. Prime factorization of 88389 in exponential form is:

88389 = 3² × 7¹ × 23¹ × 61¹

Step-2: Prime Factorization of 88401

Prime factors of 88401 are 3, 79, 373. Prime factorization of 88401 in exponential form is:

88401 = 3¹ × 79¹ × 373¹

Step-3: Factors of 88389

List of positive integer factors of 88389 that divides 88389 without a remainder.

1, 3, 7, 9, 21, 23, 61, 63, 69, 161, 183, 207, 427, 483, 549, 1281, 1403, 1449, 3843, 4209, 9821, 12627, 29463

Step-4: Factors of 88401

List of positive integer factors of 88401 that divides 88389 without a remainder.

1, 3, 79, 237, 373, 1119, 29467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88389 and 88401. The biggest common factor number is the GCF number.
So the greatest common factor 88389 and 88401 is 3.

Also check out the Least Common Multiple of 88389 and 88401