What is the Greatest Common Factor of 8827 and 8831?

Greatest common factor (GCF) of 8827 and 8831 is 1.

GCF(8827,8831) = 1

We will now calculate the prime factors of 8827 and 8831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8827 and 8831.

How to find the GCF of 8827 and 8831?

We will first find the prime factorization of 8827 and 8831. After we will calculate the factors of 8827 and 8831 and find the biggest common factor number .

Step-1: Prime Factorization of 8827

Prime factors of 8827 are 7, 13, 97. Prime factorization of 8827 in exponential form is:

8827 = 7¹ × 13¹ × 97¹

Step-2: Prime Factorization of 8831

Prime factors of 8831 are 8831. Prime factorization of 8831 in exponential form is:

8831 = 8831¹

Step-3: Factors of 8827

List of positive integer factors of 8827 that divides 8827 without a remainder.

1, 7, 13, 91, 97, 679, 1261

Step-4: Factors of 8831

List of positive integer factors of 8831 that divides 8827 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8827 and 8831. The biggest common factor number is the GCF number.
So the greatest common factor 8827 and 8831 is 1.

Also check out the Least Common Multiple of 8827 and 8831