What is the Greatest Common Factor of 86020 and 86032?

Greatest common factor (GCF) of 86020 and 86032 is 4.

GCF(86020,86032) = 4

We will now calculate the prime factors of 86020 and 86032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86020 and 86032.

How to find the GCF of 86020 and 86032?

We will first find the prime factorization of 86020 and 86032. After we will calculate the factors of 86020 and 86032 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 86032

Prime factors of 86032 are 2, 19, 283. Prime factorization of 86032 in exponential form is:

86032 = 2⁴ × 19¹ × 283¹

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 86032

List of positive integer factors of 86032 that divides 86020 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 283, 304, 566, 1132, 2264, 4528, 5377, 10754, 21508, 43016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86020 and 86032. The biggest common factor number is the GCF number.
So the greatest common factor 86020 and 86032 is 4.

Also check out the Least Common Multiple of 86020 and 86032