What is the Greatest Common Factor of 86139 and 86150?

Greatest common factor (GCF) of 86139 and 86150 is 1.

GCF(86139,86150) = 1

We will now calculate the prime factors of 86139 and 86150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86139 and 86150.

How to find the GCF of 86139 and 86150?

We will first find the prime factorization of 86139 and 86150. After we will calculate the factors of 86139 and 86150 and find the biggest common factor number .

Step-1: Prime Factorization of 86139

Prime factors of 86139 are 3, 17, 563. Prime factorization of 86139 in exponential form is:

86139 = 3² × 17¹ × 563¹

Step-2: Prime Factorization of 86150

Prime factors of 86150 are 2, 5, 1723. Prime factorization of 86150 in exponential form is:

86150 = 2¹ × 5² × 1723¹

Step-3: Factors of 86139

List of positive integer factors of 86139 that divides 86139 without a remainder.

1, 3, 9, 17, 51, 153, 563, 1689, 5067, 9571, 28713

Step-4: Factors of 86150

List of positive integer factors of 86150 that divides 86139 without a remainder.

1, 2, 5, 10, 25, 50, 1723, 3446, 8615, 17230, 43075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86139 and 86150. The biggest common factor number is the GCF number.
So the greatest common factor 86139 and 86150 is 1.

Also check out the Least Common Multiple of 86139 and 86150