What is the Greatest Common Factor of 86635 and 86650?

Greatest common factor (GCF) of 86635 and 86650 is 5.

GCF(86635,86650) = 5

We will now calculate the prime factors of 86635 and 86650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86635 and 86650.

How to find the GCF of 86635 and 86650?

We will first find the prime factorization of 86635 and 86650. After we will calculate the factors of 86635 and 86650 and find the biggest common factor number .

Step-1: Prime Factorization of 86635

Prime factors of 86635 are 5, 17327. Prime factorization of 86635 in exponential form is:

86635 = 5¹ × 17327¹

Step-2: Prime Factorization of 86650

Prime factors of 86650 are 2, 5, 1733. Prime factorization of 86650 in exponential form is:

86650 = 2¹ × 5² × 1733¹

Step-3: Factors of 86635

List of positive integer factors of 86635 that divides 86635 without a remainder.

1, 5, 17327

Step-4: Factors of 86650

List of positive integer factors of 86650 that divides 86635 without a remainder.

1, 2, 5, 10, 25, 50, 1733, 3466, 8665, 17330, 43325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86635 and 86650. The biggest common factor number is the GCF number.
So the greatest common factor 86635 and 86650 is 5.

Also check out the Least Common Multiple of 86635 and 86650