What is the Greatest Common Factor of 8692 and 8708?

Greatest common factor (GCF) of 8692 and 8708 is 4.

GCF(8692,8708) = 4

We will now calculate the prime factors of 8692 and 8708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8692 and 8708.

How to find the GCF of 8692 and 8708?

We will first find the prime factorization of 8692 and 8708. After we will calculate the factors of 8692 and 8708 and find the biggest common factor number .

Step-1: Prime Factorization of 8692

Prime factors of 8692 are 2, 41, 53. Prime factorization of 8692 in exponential form is:

8692 = 2² × 41¹ × 53¹

Step-2: Prime Factorization of 8708

Prime factors of 8708 are 2, 7, 311. Prime factorization of 8708 in exponential form is:

8708 = 2² × 7¹ × 311¹

Step-3: Factors of 8692

List of positive integer factors of 8692 that divides 8692 without a remainder.

1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346

Step-4: Factors of 8708

List of positive integer factors of 8708 that divides 8692 without a remainder.

1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8692 and 8708. The biggest common factor number is the GCF number.
So the greatest common factor 8692 and 8708 is 4.

Also check out the Least Common Multiple of 8692 and 8708