What is the Greatest Common Factor of 88325 and 88335?

Greatest common factor (GCF) of 88325 and 88335 is 5.

GCF(88325,88335) = 5

We will now calculate the prime factors of 88325 and 88335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88325 and 88335.

How to find the GCF of 88325 and 88335?

We will first find the prime factorization of 88325 and 88335. After we will calculate the factors of 88325 and 88335 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 88335

Prime factors of 88335 are 3, 5, 13, 151. Prime factorization of 88335 in exponential form is:

88335 = 3² × 5¹ × 13¹ × 151¹

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 88335

List of positive integer factors of 88335 that divides 88325 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 151, 195, 453, 585, 755, 1359, 1963, 2265, 5889, 6795, 9815, 17667, 29445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88325 and 88335. The biggest common factor number is the GCF number.
So the greatest common factor 88325 and 88335 is 5.

Also check out the Least Common Multiple of 88325 and 88335