What is the Greatest Common Factor of 88365 and 88370?

Greatest common factor (GCF) of 88365 and 88370 is 5.

GCF(88365,88370) = 5

We will now calculate the prime factors of 88365 and 88370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88365 and 88370.

How to find the GCF of 88365 and 88370?

We will first find the prime factorization of 88365 and 88370. After we will calculate the factors of 88365 and 88370 and find the biggest common factor number .

Step-1: Prime Factorization of 88365

Prime factors of 88365 are 3, 5, 43, 137. Prime factorization of 88365 in exponential form is:

88365 = 3¹ × 5¹ × 43¹ × 137¹

Step-2: Prime Factorization of 88370

Prime factors of 88370 are 2, 5, 8837. Prime factorization of 88370 in exponential form is:

88370 = 2¹ × 5¹ × 8837¹

Step-3: Factors of 88365

List of positive integer factors of 88365 that divides 88365 without a remainder.

1, 3, 5, 15, 43, 129, 137, 215, 411, 645, 685, 2055, 5891, 17673, 29455

Step-4: Factors of 88370

List of positive integer factors of 88370 that divides 88365 without a remainder.

1, 2, 5, 10, 8837, 17674, 44185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88365 and 88370. The biggest common factor number is the GCF number.
So the greatest common factor 88365 and 88370 is 5.

Also check out the Least Common Multiple of 88365 and 88370