What is the Greatest Common Factor of 88377 and 88386?

Greatest common factor (GCF) of 88377 and 88386 is 3.

GCF(88377,88386) = 3

We will now calculate the prime factors of 88377 and 88386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88377 and 88386.

How to find the GCF of 88377 and 88386?

We will first find the prime factorization of 88377 and 88386. After we will calculate the factors of 88377 and 88386 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 88386

Prime factors of 88386 are 2, 3, 14731. Prime factorization of 88386 in exponential form is:

88386 = 2¹ × 3¹ × 14731¹

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 88386

List of positive integer factors of 88386 that divides 88377 without a remainder.

1, 2, 3, 6, 14731, 29462, 44193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88377 and 88386. The biggest common factor number is the GCF number.
So the greatest common factor 88377 and 88386 is 3.

Also check out the Least Common Multiple of 88377 and 88386