What is the Greatest Common Factor of 88377 and 88395?

Greatest common factor (GCF) of 88377 and 88395 is 3.

GCF(88377,88395) = 3

We will now calculate the prime factors of 88377 and 88395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88377 and 88395.

How to find the GCF of 88377 and 88395?

We will first find the prime factorization of 88377 and 88395. After we will calculate the factors of 88377 and 88395 and find the biggest common factor number .

Step-1: Prime Factorization of 88377

Prime factors of 88377 are 3, 89, 331. Prime factorization of 88377 in exponential form is:

88377 = 3¹ × 89¹ × 331¹

Step-2: Prime Factorization of 88395

Prime factors of 88395 are 3, 5, 71, 83. Prime factorization of 88395 in exponential form is:

88395 = 3¹ × 5¹ × 71¹ × 83¹

Step-3: Factors of 88377

List of positive integer factors of 88377 that divides 88377 without a remainder.

1, 3, 89, 267, 331, 993, 29459

Step-4: Factors of 88395

List of positive integer factors of 88395 that divides 88377 without a remainder.

1, 3, 5, 15, 71, 83, 213, 249, 355, 415, 1065, 1245, 5893, 17679, 29465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88377 and 88395. The biggest common factor number is the GCF number.
So the greatest common factor 88377 and 88395 is 3.

Also check out the Least Common Multiple of 88377 and 88395