What is the Greatest Common Factor of 8847 and 8853?

Greatest common factor (GCF) of 8847 and 8853 is 3.

GCF(8847,8853) = 3

We will now calculate the prime factors of 8847 and 8853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8847 and 8853.

How to find the GCF of 8847 and 8853?

We will first find the prime factorization of 8847 and 8853. After we will calculate the factors of 8847 and 8853 and find the biggest common factor number .

Step-1: Prime Factorization of 8847

Prime factors of 8847 are 3, 983. Prime factorization of 8847 in exponential form is:

8847 = 3² × 983¹

Step-2: Prime Factorization of 8853

Prime factors of 8853 are 3, 13, 227. Prime factorization of 8853 in exponential form is:

8853 = 3¹ × 13¹ × 227¹

Step-3: Factors of 8847

List of positive integer factors of 8847 that divides 8847 without a remainder.

1, 3, 9, 983, 2949

Step-4: Factors of 8853

List of positive integer factors of 8853 that divides 8847 without a remainder.

1, 3, 13, 39, 227, 681, 2951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8847 and 8853. The biggest common factor number is the GCF number.
So the greatest common factor 8847 and 8853 is 3.

Also check out the Least Common Multiple of 8847 and 8853