What is the Greatest Common Factor of 86690 and 86696?

Greatest common factor (GCF) of 86690 and 86696 is 2.

GCF(86690,86696) = 2

We will now calculate the prime factors of 86690 and 86696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86690 and 86696.

How to find the GCF of 86690 and 86696?

We will first find the prime factorization of 86690 and 86696. After we will calculate the factors of 86690 and 86696 and find the biggest common factor number .

Step-1: Prime Factorization of 86690

Prime factors of 86690 are 2, 5, 8669. Prime factorization of 86690 in exponential form is:

86690 = 2¹ × 5¹ × 8669¹

Step-2: Prime Factorization of 86696

Prime factors of 86696 are 2, 10837. Prime factorization of 86696 in exponential form is:

86696 = 2³ × 10837¹

Step-3: Factors of 86690

List of positive integer factors of 86690 that divides 86690 without a remainder.

1, 2, 5, 10, 8669, 17338, 43345

Step-4: Factors of 86696

List of positive integer factors of 86696 that divides 86690 without a remainder.

1, 2, 4, 8, 10837, 21674, 43348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86690 and 86696. The biggest common factor number is the GCF number.
So the greatest common factor 86690 and 86696 is 2.

Also check out the Least Common Multiple of 86690 and 86696