What is the Greatest Common Factor of 8688 and 8699?

Greatest common factor (GCF) of 8688 and 8699 is 1.

GCF(8688,8699) = 1

We will now calculate the prime factors of 8688 and 8699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8688 and 8699.

How to find the GCF of 8688 and 8699?

We will first find the prime factorization of 8688 and 8699. After we will calculate the factors of 8688 and 8699 and find the biggest common factor number .

Step-1: Prime Factorization of 8688

Prime factors of 8688 are 2, 3, 181. Prime factorization of 8688 in exponential form is:

8688 = 2⁴ × 3¹ × 181¹

Step-2: Prime Factorization of 8699

Prime factors of 8699 are 8699. Prime factorization of 8699 in exponential form is:

8699 = 8699¹

Step-3: Factors of 8688

List of positive integer factors of 8688 that divides 8688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344

Step-4: Factors of 8699

List of positive integer factors of 8699 that divides 8688 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8688 and 8699. The biggest common factor number is the GCF number.
So the greatest common factor 8688 and 8699 is 1.

Also check out the Least Common Multiple of 8688 and 8699