What is the Greatest Common Factor of 87580 and 87585?

Greatest common factor (GCF) of 87580 and 87585 is 5.

GCF(87580,87585) = 5

We will now calculate the prime factors of 87580 and 87585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87580 and 87585.

How to find the GCF of 87580 and 87585?

We will first find the prime factorization of 87580 and 87585. After we will calculate the factors of 87580 and 87585 and find the biggest common factor number .

Step-1: Prime Factorization of 87580

Prime factors of 87580 are 2, 5, 29, 151. Prime factorization of 87580 in exponential form is:

87580 = 2² × 5¹ × 29¹ × 151¹

Step-2: 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-3: Factors of 87580

List of positive integer factors of 87580 that divides 87580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 151, 290, 302, 580, 604, 755, 1510, 3020, 4379, 8758, 17516, 21895, 43790

Step-4: Factors of 87585

List of positive integer factors of 87585 that divides 87580 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87580 and 87585. The biggest common factor number is the GCF number.
So the greatest common factor 87580 and 87585 is 5.

Also check out the Least Common Multiple of 87580 and 87585