What is the Greatest Common Factor of 88587 and 88604?

Greatest common factor (GCF) of 88587 and 88604 is 17.

GCF(88587,88604) = 17

We will now calculate the prime factors of 88587 and 88604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88587 and 88604.

How to find the GCF of 88587 and 88604?

We will first find the prime factorization of 88587 and 88604. After we will calculate the factors of 88587 and 88604 and find the biggest common factor number .

Step-1: Prime Factorization of 88587

Prime factors of 88587 are 3, 17, 193. Prime factorization of 88587 in exponential form is:

88587 = 3³ × 17¹ × 193¹

Step-2: Prime Factorization of 88604

Prime factors of 88604 are 2, 17, 1303. Prime factorization of 88604 in exponential form is:

88604 = 2² × 17¹ × 1303¹

Step-3: Factors of 88587

List of positive integer factors of 88587 that divides 88587 without a remainder.

1, 3, 9, 17, 27, 51, 153, 193, 459, 579, 1737, 3281, 5211, 9843, 29529

Step-4: Factors of 88604

List of positive integer factors of 88604 that divides 88587 without a remainder.

1, 2, 4, 17, 34, 68, 1303, 2606, 5212, 22151, 44302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88587 and 88604. The biggest common factor number is the GCF number.
So the greatest common factor 88587 and 88604 is 17.

Also check out the Least Common Multiple of 88587 and 88604