What is the Greatest Common Factor of 8827 and 8841?

Greatest common factor (GCF) of 8827 and 8841 is 7.

GCF(8827,8841) = 7

We will now calculate the prime factors of 8827 and 8841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8827 and 8841.

How to find the GCF of 8827 and 8841?

We will first find the prime factorization of 8827 and 8841. After we will calculate the factors of 8827 and 8841 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 8841

Prime factors of 8841 are 3, 7, 421. Prime factorization of 8841 in exponential form is:

8841 = 3¹ × 7¹ × 421¹

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 8841

List of positive integer factors of 8841 that divides 8827 without a remainder.

1, 3, 7, 21, 421, 1263, 2947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8827 and 8841. The biggest common factor number is the GCF number.
So the greatest common factor 8827 and 8841 is 7.

Also check out the Least Common Multiple of 8827 and 8841