What is the Greatest Common Factor of 86010 and 86025?

Greatest common factor (GCF) of 86010 and 86025 is 15.

GCF(86010,86025) = 15

We will now calculate the prime factors of 86010 and 86025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86010 and 86025.

How to find the GCF of 86010 and 86025?

We will first find the prime factorization of 86010 and 86025. After we will calculate the factors of 86010 and 86025 and find the biggest common factor number .

Step-1: Prime Factorization of 86010

Prime factors of 86010 are 2, 3, 5, 47, 61. Prime factorization of 86010 in exponential form is:

86010 = 2¹ × 3¹ × 5¹ × 47¹ × 61¹

Step-2: Prime Factorization of 86025

Prime factors of 86025 are 3, 5, 31, 37. Prime factorization of 86025 in exponential form is:

86025 = 3¹ × 5² × 31¹ × 37¹

Step-3: Factors of 86010

List of positive integer factors of 86010 that divides 86010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 61, 94, 122, 141, 183, 235, 282, 305, 366, 470, 610, 705, 915, 1410, 1830, 2867, 5734, 8601, 14335, 17202, 28670, 43005

Step-4: Factors of 86025

List of positive integer factors of 86025 that divides 86010 without a remainder.

1, 3, 5, 15, 25, 31, 37, 75, 93, 111, 155, 185, 465, 555, 775, 925, 1147, 2325, 2775, 3441, 5735, 17205, 28675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86010 and 86025. The biggest common factor number is the GCF number.
So the greatest common factor 86010 and 86025 is 15.

Also check out the Least Common Multiple of 86010 and 86025