What is the Greatest Common Factor of 87100 and 87116?

Greatest common factor (GCF) of 87100 and 87116 is 4.

GCF(87100,87116) = 4

We will now calculate the prime factors of 87100 and 87116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87100 and 87116.

How to find the GCF of 87100 and 87116?

We will first find the prime factorization of 87100 and 87116. After we will calculate the factors of 87100 and 87116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87116

Prime factors of 87116 are 2, 29, 751. Prime factorization of 87116 in exponential form is:

87116 = 2² × 29¹ × 751¹

Step-3: Factors of 87100

List of positive integer factors of 87100 that divides 87100 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

Step-4: Factors of 87116

List of positive integer factors of 87116 that divides 87100 without a remainder.

1, 2, 4, 29, 58, 116, 751, 1502, 3004, 21779, 43558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87100 and 87116. The biggest common factor number is the GCF number.
So the greatest common factor 87100 and 87116 is 4.

Also check out the Least Common Multiple of 87100 and 87116