What is the Greatest Common Factor of 86025 and 86044?

Greatest common factor (GCF) of 86025 and 86044 is 1.

GCF(86025,86044) = 1

We will now calculate the prime factors of 86025 and 86044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86025 and 86044.

How to find the GCF of 86025 and 86044?

We will first find the prime factorization of 86025 and 86044. After we will calculate the factors of 86025 and 86044 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 86044

Prime factors of 86044 are 2, 7, 439. Prime factorization of 86044 in exponential form is:

86044 = 2² × 7² × 439¹

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 86044

List of positive integer factors of 86044 that divides 86025 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 439, 878, 1756, 3073, 6146, 12292, 21511, 43022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86025 and 86044. The biggest common factor number is the GCF number.
So the greatest common factor 86025 and 86044 is 1.

Also check out the Least Common Multiple of 86025 and 86044