What is the Greatest Common Factor of 86020 and 86025?

Greatest common factor (GCF) of 86020 and 86025 is 5.

GCF(86020,86025) = 5

We will now calculate the prime factors of 86020 and 86025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86020 and 86025.

How to find the GCF of 86020 and 86025?

We will first find the prime factorization of 86020 and 86025. After we will calculate the factors of 86020 and 86025 and find the biggest common factor number .

Step-1: Prime Factorization of 86020

Prime factors of 86020 are 2, 5, 11, 17, 23. Prime factorization of 86020 in exponential form is:

86020 = 2² × 5¹ × 11¹ × 17¹ × 23¹

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 86020

List of positive integer factors of 86020 that divides 86020 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 23, 34, 44, 46, 55, 68, 85, 92, 110, 115, 170, 187, 220, 230, 253, 340, 374, 391, 460, 506, 748, 782, 935, 1012, 1265, 1564, 1870, 1955, 2530, 3740, 3910, 4301, 5060, 7820, 8602, 17204, 21505, 43010

Step-4: Factors of 86025

List of positive integer factors of 86025 that divides 86020 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 86020 and 86025. The biggest common factor number is the GCF number.
So the greatest common factor 86020 and 86025 is 5.

Also check out the Least Common Multiple of 86020 and 86025