What is the Greatest Common Factor of 88325 and 88345?

Greatest common factor (GCF) of 88325 and 88345 is 5.

GCF(88325,88345) = 5

We will now calculate the prime factors of 88325 and 88345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88325 and 88345.

How to find the GCF of 88325 and 88345?

We will first find the prime factorization of 88325 and 88345. After we will calculate the factors of 88325 and 88345 and find the biggest common factor number .

Step-1: Prime Factorization of 88325

Prime factors of 88325 are 5, 3533. Prime factorization of 88325 in exponential form is:

88325 = 5² × 3533¹

Step-2: Prime Factorization of 88345

Prime factors of 88345 are 5, 17669. Prime factorization of 88345 in exponential form is:

88345 = 5¹ × 17669¹

Step-3: Factors of 88325

List of positive integer factors of 88325 that divides 88325 without a remainder.

1, 5, 25, 3533, 17665

Step-4: Factors of 88345

List of positive integer factors of 88345 that divides 88325 without a remainder.

1, 5, 17669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88325 and 88345. The biggest common factor number is the GCF number.
So the greatest common factor 88325 and 88345 is 5.

Also check out the Least Common Multiple of 88325 and 88345