What is the Greatest Common Factor of 87588 and 87606?

Greatest common factor (GCF) of 87588 and 87606 is 18.

GCF(87588,87606) = 18

We will now calculate the prime factors of 87588 and 87606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87588 and 87606.

How to find the GCF of 87588 and 87606?

We will first find the prime factorization of 87588 and 87606. After we will calculate the factors of 87588 and 87606 and find the biggest common factor number .

Step-1: Prime Factorization of 87588

Prime factors of 87588 are 2, 3, 811. Prime factorization of 87588 in exponential form is:

87588 = 2² × 3³ × 811¹

Step-2: Prime Factorization of 87606

Prime factors of 87606 are 2, 3, 31, 157. Prime factorization of 87606 in exponential form is:

87606 = 2¹ × 3² × 31¹ × 157¹

Step-3: Factors of 87588

List of positive integer factors of 87588 that divides 87588 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 811, 1622, 2433, 3244, 4866, 7299, 9732, 14598, 21897, 29196, 43794

Step-4: Factors of 87606

List of positive integer factors of 87606 that divides 87588 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 157, 186, 279, 314, 471, 558, 942, 1413, 2826, 4867, 9734, 14601, 29202, 43803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87588 and 87606. The biggest common factor number is the GCF number.
So the greatest common factor 87588 and 87606 is 18.

Also check out the Least Common Multiple of 87588 and 87606