What is the Greatest Common Factor of 87095 and 87100?

Greatest common factor (GCF) of 87095 and 87100 is 5.

GCF(87095,87100) = 5

We will now calculate the prime factors of 87095 and 87100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87095 and 87100.

How to find the GCF of 87095 and 87100?

We will first find the prime factorization of 87095 and 87100. After we will calculate the factors of 87095 and 87100 and find the biggest common factor number .

Step-1: Prime Factorization of 87095

Prime factors of 87095 are 5, 17419. Prime factorization of 87095 in exponential form is:

87095 = 5¹ × 17419¹

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 87095

List of positive integer factors of 87095 that divides 87095 without a remainder.

1, 5, 17419

Step-4: Factors of 87100

List of positive integer factors of 87100 that divides 87095 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 87095 and 87100. The biggest common factor number is the GCF number.
So the greatest common factor 87095 and 87100 is 5.

Also check out the Least Common Multiple of 87095 and 87100