What is the Greatest Common Factor of 8829 and 8841?

Greatest common factor (GCF) of 8829 and 8841 is 3.

GCF(8829,8841) = 3

We will now calculate the prime factors of 8829 and 8841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8829 and 8841.

How to find the GCF of 8829 and 8841?

We will first find the prime factorization of 8829 and 8841. After we will calculate the factors of 8829 and 8841 and find the biggest common factor number .

Step-1: Prime Factorization of 8829

Prime factors of 8829 are 3, 109. Prime factorization of 8829 in exponential form is:

8829 = 3⁴ × 109¹

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 8829

List of positive integer factors of 8829 that divides 8829 without a remainder.

1, 3, 9, 27, 81, 109, 327, 981, 2943

Step-4: Factors of 8841

List of positive integer factors of 8841 that divides 8829 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8829 and 8841. The biggest common factor number is the GCF number.
So the greatest common factor 8829 and 8841 is 3.

Also check out the Least Common Multiple of 8829 and 8841