What is the Greatest Common Factor of 86013 and 86032?

Greatest common factor (GCF) of 86013 and 86032 is 19.

GCF(86013,86032) = 19

We will now calculate the prime factors of 86013 and 86032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86013 and 86032.

How to find the GCF of 86013 and 86032?

We will first find the prime factorization of 86013 and 86032. After we will calculate the factors of 86013 and 86032 and find the biggest common factor number .

Step-1: Prime Factorization of 86013

Prime factors of 86013 are 3, 19, 503. Prime factorization of 86013 in exponential form is:

86013 = 3² × 19¹ × 503¹

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 86013

List of positive integer factors of 86013 that divides 86013 without a remainder.

1, 3, 9, 19, 57, 171, 503, 1509, 4527, 9557, 28671

Step-4: Factors of 86032

List of positive integer factors of 86032 that divides 86013 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 86013 and 86032. The biggest common factor number is the GCF number.
So the greatest common factor 86013 and 86032 is 19.

Also check out the Least Common Multiple of 86013 and 86032