What is the Greatest Common Factor of 88587 and 88602?

Greatest common factor (GCF) of 88587 and 88602 is 3.

GCF(88587,88602) = 3

We will now calculate the prime factors of 88587 and 88602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88587 and 88602.

How to find the GCF of 88587 and 88602?

We will first find the prime factorization of 88587 and 88602. After we will calculate the factors of 88587 and 88602 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 88602

Prime factors of 88602 are 2, 3, 14767. Prime factorization of 88602 in exponential form is:

88602 = 2¹ × 3¹ × 14767¹

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 88602

List of positive integer factors of 88602 that divides 88587 without a remainder.

1, 2, 3, 6, 14767, 29534, 44301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88587 and 88602. The biggest common factor number is the GCF number.
So the greatest common factor 88587 and 88602 is 3.

Also check out the Least Common Multiple of 88587 and 88602