What is the Greatest Common Factor of 87085 and 87100?

Greatest common factor (GCF) of 87085 and 87100 is 5.

GCF(87085,87100) = 5

We will now calculate the prime factors of 87085 and 87100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87085 and 87100.

How to find the GCF of 87085 and 87100?

We will first find the prime factorization of 87085 and 87100. After we will calculate the factors of 87085 and 87100 and find the biggest common factor number .

Step-1: Prime Factorization of 87085

Prime factors of 87085 are 5, 17417. Prime factorization of 87085 in exponential form is:

87085 = 5¹ × 17417¹

Step-2: Prime Factorization of 87100

Prime factors of 87100 are 2, 5, 13, 67. Prime factorization of 87100 in exponential form is:

87100 = 2² × 5² × 13¹ × 67¹

Step-3: Factors of 87085

List of positive integer factors of 87085 that divides 87085 without a remainder.

1, 5, 17417

Step-4: Factors of 87100

List of positive integer factors of 87100 that divides 87085 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 67, 100, 130, 134, 260, 268, 325, 335, 650, 670, 871, 1300, 1340, 1675, 1742, 3350, 3484, 4355, 6700, 8710, 17420, 21775, 43550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87085 and 87100. The biggest common factor number is the GCF number.
So the greatest common factor 87085 and 87100 is 5.

Also check out the Least Common Multiple of 87085 and 87100