What is the Greatest Common Factor of 87150 and 87170?

Greatest common factor (GCF) of 87150 and 87170 is 10.

GCF(87150,87170) = 10

We will now calculate the prime factors of 87150 and 87170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87150 and 87170.

How to find the GCF of 87150 and 87170?

We will first find the prime factorization of 87150 and 87170. After we will calculate the factors of 87150 and 87170 and find the biggest common factor number .

Step-1: Prime Factorization of 87150

Prime factors of 87150 are 2, 3, 5, 7, 83. Prime factorization of 87150 in exponential form is:

87150 = 2¹ × 3¹ × 5² × 7¹ × 83¹

Step-2: Prime Factorization of 87170

Prime factors of 87170 are 2, 5, 23, 379. Prime factorization of 87170 in exponential form is:

87170 = 2¹ × 5¹ × 23¹ × 379¹

Step-3: Factors of 87150

List of positive integer factors of 87150 that divides 87150 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 83, 105, 150, 166, 175, 210, 249, 350, 415, 498, 525, 581, 830, 1050, 1162, 1245, 1743, 2075, 2490, 2905, 3486, 4150, 5810, 6225, 8715, 12450, 14525, 17430, 29050, 43575

Step-4: Factors of 87170

List of positive integer factors of 87170 that divides 87150 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 379, 758, 1895, 3790, 8717, 17434, 43585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87150 and 87170. The biggest common factor number is the GCF number.
So the greatest common factor 87150 and 87170 is 10.

Also check out the Least Common Multiple of 87150 and 87170