What is the Greatest Common Factor of 87087 and 87100?

Greatest common factor (GCF) of 87087 and 87100 is 13.

GCF(87087,87100) = 13

We will now calculate the prime factors of 87087 and 87100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87087 and 87100.

How to find the GCF of 87087 and 87100?

We will first find the prime factorization of 87087 and 87100. After we will calculate the factors of 87087 and 87100 and find the biggest common factor number .

Step-1: Prime Factorization of 87087

Prime factors of 87087 are 3, 7, 11, 13, 29. Prime factorization of 87087 in exponential form is:

87087 = 3¹ × 7¹ × 11¹ × 13¹ × 29¹

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 87087

List of positive integer factors of 87087 that divides 87087 without a remainder.

1, 3, 7, 11, 13, 21, 29, 33, 39, 77, 87, 91, 143, 203, 231, 273, 319, 377, 429, 609, 957, 1001, 1131, 2233, 2639, 3003, 4147, 6699, 7917, 12441, 29029

Step-4: Factors of 87100

List of positive integer factors of 87100 that divides 87087 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 87087 and 87100. The biggest common factor number is the GCF number.
So the greatest common factor 87087 and 87100 is 13.

Also check out the Least Common Multiple of 87087 and 87100