What is the Greatest Common Factor of 8801 and 8814?

Greatest common factor (GCF) of 8801 and 8814 is 13.

GCF(8801,8814) = 13

We will now calculate the prime factors of 8801 and 8814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8801 and 8814.

How to find the GCF of 8801 and 8814?

We will first find the prime factorization of 8801 and 8814. After we will calculate the factors of 8801 and 8814 and find the biggest common factor number .

Step-1: Prime Factorization of 8801

Prime factors of 8801 are 13, 677. Prime factorization of 8801 in exponential form is:

8801 = 13¹ × 677¹

Step-2: Prime Factorization of 8814

Prime factors of 8814 are 2, 3, 13, 113. Prime factorization of 8814 in exponential form is:

8814 = 2¹ × 3¹ × 13¹ × 113¹

Step-3: Factors of 8801

List of positive integer factors of 8801 that divides 8801 without a remainder.

1, 13, 677

Step-4: Factors of 8814

List of positive integer factors of 8814 that divides 8801 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8801 and 8814. The biggest common factor number is the GCF number.
So the greatest common factor 8801 and 8814 is 13.

Also check out the Least Common Multiple of 8801 and 8814