What is the Greatest Common Factor of 8827 and 8839?

Greatest common factor (GCF) of 8827 and 8839 is 1.

GCF(8827,8839) = 1

We will now calculate the prime factors of 8827 and 8839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8827 and 8839.

How to find the GCF of 8827 and 8839?

We will first find the prime factorization of 8827 and 8839. After we will calculate the factors of 8827 and 8839 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 8839

Prime factors of 8839 are 8839. Prime factorization of 8839 in exponential form is:

8839 = 8839¹

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 8839

List of positive integer factors of 8839 that divides 8827 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8827 and 8839. The biggest common factor number is the GCF number.
So the greatest common factor 8827 and 8839 is 1.

Also check out the Least Common Multiple of 8827 and 8839