What is the Greatest Common Factor of 87150 and 87165?

Greatest common factor (GCF) of 87150 and 87165 is 15.

GCF(87150,87165) = 15

We will now calculate the prime factors of 87150 and 87165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87150 and 87165.

How to find the GCF of 87150 and 87165?

We will first find the prime factorization of 87150 and 87165. After we will calculate the factors of 87150 and 87165 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 87165

Prime factors of 87165 are 3, 5, 13, 149. Prime factorization of 87165 in exponential form is:

87165 = 3² × 5¹ × 13¹ × 149¹

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 87165

List of positive integer factors of 87165 that divides 87150 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 149, 195, 447, 585, 745, 1341, 1937, 2235, 5811, 6705, 9685, 17433, 29055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87150 and 87165. The biggest common factor number is the GCF number.
So the greatest common factor 87150 and 87165 is 15.

Also check out the Least Common Multiple of 87150 and 87165