What is the Greatest Common Factor of 86025 and 86030?

Greatest common factor (GCF) of 86025 and 86030 is 5.

GCF(86025,86030) = 5

We will now calculate the prime factors of 86025 and 86030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86025 and 86030.

How to find the GCF of 86025 and 86030?

We will first find the prime factorization of 86025 and 86030. After we will calculate the factors of 86025 and 86030 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86030

Prime factors of 86030 are 2, 5, 7, 1229. Prime factorization of 86030 in exponential form is:

86030 = 2¹ × 5¹ × 7¹ × 1229¹

Step-3: Factors of 86025

List of positive integer factors of 86025 that divides 86025 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

Step-4: Factors of 86030

List of positive integer factors of 86030 that divides 86025 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1229, 2458, 6145, 8603, 12290, 17206, 43015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86025 and 86030. The biggest common factor number is the GCF number.
So the greatest common factor 86025 and 86030 is 5.

Also check out the Least Common Multiple of 86025 and 86030