What is the Greatest Common Factor of 87081 and 87100?

Greatest common factor (GCF) of 87081 and 87100 is 1.

GCF(87081,87100) = 1

We will now calculate the prime factors of 87081 and 87100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87081 and 87100.

How to find the GCF of 87081 and 87100?

We will first find the prime factorization of 87081 and 87100. After we will calculate the factors of 87081 and 87100 and find the biggest common factor number .

Step-1: Prime Factorization of 87081

Prime factors of 87081 are 3, 29027. Prime factorization of 87081 in exponential form is:

87081 = 3¹ × 29027¹

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 87081

List of positive integer factors of 87081 that divides 87081 without a remainder.

1, 3, 29027

Step-4: Factors of 87100

List of positive integer factors of 87100 that divides 87081 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 87081 and 87100. The biggest common factor number is the GCF number.
So the greatest common factor 87081 and 87100 is 1.

Also check out the Least Common Multiple of 87081 and 87100