What is the Greatest Common Factor of 86608 and 86612?

Greatest common factor (GCF) of 86608 and 86612 is 4.

GCF(86608,86612) = 4

We will now calculate the prime factors of 86608 and 86612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86608 and 86612.

How to find the GCF of 86608 and 86612?

We will first find the prime factorization of 86608 and 86612. After we will calculate the factors of 86608 and 86612 and find the biggest common factor number .

Step-1: Prime Factorization of 86608

Prime factors of 86608 are 2, 5413. Prime factorization of 86608 in exponential form is:

86608 = 2⁴ × 5413¹

Step-2: Prime Factorization of 86612

Prime factors of 86612 are 2, 59, 367. Prime factorization of 86612 in exponential form is:

86612 = 2² × 59¹ × 367¹

Step-3: Factors of 86608

List of positive integer factors of 86608 that divides 86608 without a remainder.

1, 2, 4, 8, 16, 5413, 10826, 21652, 43304

Step-4: Factors of 86612

List of positive integer factors of 86612 that divides 86608 without a remainder.

1, 2, 4, 59, 118, 236, 367, 734, 1468, 21653, 43306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86608 and 86612. The biggest common factor number is the GCF number.
So the greatest common factor 86608 and 86612 is 4.

Also check out the Least Common Multiple of 86608 and 86612