What is the Greatest Common Factor of 86025 and 86039?

Greatest common factor (GCF) of 86025 and 86039 is 1.

GCF(86025,86039) = 1

We will now calculate the prime factors of 86025 and 86039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86025 and 86039.

How to find the GCF of 86025 and 86039?

We will first find the prime factorization of 86025 and 86039. After we will calculate the factors of 86025 and 86039 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 86039

Prime factors of 86039 are 97, 887. Prime factorization of 86039 in exponential form is:

86039 = 97¹ × 887¹

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 86039

List of positive integer factors of 86039 that divides 86025 without a remainder.

1, 97, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86025 and 86039. The biggest common factor number is the GCF number.
So the greatest common factor 86025 and 86039 is 1.

Also check out the Least Common Multiple of 86025 and 86039