What is the Greatest Common Factor of 86636 and 86650?

Greatest common factor (GCF) of 86636 and 86650 is 2.

GCF(86636,86650) = 2

We will now calculate the prime factors of 86636 and 86650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86636 and 86650.

How to find the GCF of 86636 and 86650?

We will first find the prime factorization of 86636 and 86650. After we will calculate the factors of 86636 and 86650 and find the biggest common factor number .

Step-1: Prime Factorization of 86636

Prime factors of 86636 are 2, 11, 179. Prime factorization of 86636 in exponential form is:

86636 = 2² × 11² × 179¹

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 86636

List of positive integer factors of 86636 that divides 86636 without a remainder.

1, 2, 4, 11, 22, 44, 121, 179, 242, 358, 484, 716, 1969, 3938, 7876, 21659, 43318

Step-4: Factors of 86650

List of positive integer factors of 86650 that divides 86636 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 86636 and 86650. The biggest common factor number is the GCF number.
So the greatest common factor 86636 and 86650 is 2.

Also check out the Least Common Multiple of 86636 and 86650