What is the Greatest Common Factor of 88059 and 88065?

Greatest common factor (GCF) of 88059 and 88065 is 3.

GCF(88059,88065) = 3

We will now calculate the prime factors of 88059 and 88065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88059 and 88065.

How to find the GCF of 88059 and 88065?

We will first find the prime factorization of 88059 and 88065. After we will calculate the factors of 88059 and 88065 and find the biggest common factor number .

Step-1: Prime Factorization of 88059

Prime factors of 88059 are 3, 149, 197. Prime factorization of 88059 in exponential form is:

88059 = 3¹ × 149¹ × 197¹

Step-2: Prime Factorization of 88065

Prime factors of 88065 are 3, 5, 19, 103. Prime factorization of 88065 in exponential form is:

88065 = 3² × 5¹ × 19¹ × 103¹

Step-3: Factors of 88059

List of positive integer factors of 88059 that divides 88059 without a remainder.

1, 3, 149, 197, 447, 591, 29353

Step-4: Factors of 88065

List of positive integer factors of 88065 that divides 88059 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 103, 171, 285, 309, 515, 855, 927, 1545, 1957, 4635, 5871, 9785, 17613, 29355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88059 and 88065. The biggest common factor number is the GCF number.
So the greatest common factor 88059 and 88065 is 3.

Also check out the Least Common Multiple of 88059 and 88065