What is the Greatest Common Factor of 87585 and 87596?

Greatest common factor (GCF) of 87585 and 87596 is 1.

GCF(87585,87596) = 1

We will now calculate the prime factors of 87585 and 87596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87585 and 87596.

How to find the GCF of 87585 and 87596?

We will first find the prime factorization of 87585 and 87596. After we will calculate the factors of 87585 and 87596 and find the biggest common factor number .

Step-1: Prime Factorization of 87585

Prime factors of 87585 are 3, 5, 5839. Prime factorization of 87585 in exponential form is:

87585 = 3¹ × 5¹ × 5839¹

Step-2: Prime Factorization of 87596

Prime factors of 87596 are 2, 61, 359. Prime factorization of 87596 in exponential form is:

87596 = 2² × 61¹ × 359¹

Step-3: Factors of 87585

List of positive integer factors of 87585 that divides 87585 without a remainder.

1, 3, 5, 15, 5839, 17517, 29195

Step-4: Factors of 87596

List of positive integer factors of 87596 that divides 87585 without a remainder.

1, 2, 4, 61, 122, 244, 359, 718, 1436, 21899, 43798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87585 and 87596. The biggest common factor number is the GCF number.
So the greatest common factor 87585 and 87596 is 1.

Also check out the Least Common Multiple of 87585 and 87596