What is the Greatest Common Factor of 86025 and 86045?

Greatest common factor (GCF) of 86025 and 86045 is 5.

GCF(86025,86045) = 5

We will now calculate the prime factors of 86025 and 86045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86025 and 86045.

How to find the GCF of 86025 and 86045?

We will first find the prime factorization of 86025 and 86045. After we will calculate the factors of 86025 and 86045 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 86045

Prime factors of 86045 are 5, 17209. Prime factorization of 86045 in exponential form is:

86045 = 5¹ × 17209¹

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 86045

List of positive integer factors of 86045 that divides 86025 without a remainder.

1, 5, 17209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86025 and 86045. The biggest common factor number is the GCF number.
So the greatest common factor 86025 and 86045 is 5.

Also check out the Least Common Multiple of 86025 and 86045