What is the Greatest Common Factor of 8905 and 8918?

Greatest common factor (GCF) of 8905 and 8918 is 13.

GCF(8905,8918) = 13

We will now calculate the prime factors of 8905 and 8918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8905 and 8918.

How to find the GCF of 8905 and 8918?

We will first find the prime factorization of 8905 and 8918. After we will calculate the factors of 8905 and 8918 and find the biggest common factor number .

Step-1: Prime Factorization of 8905

Prime factors of 8905 are 5, 13, 137. Prime factorization of 8905 in exponential form is:

8905 = 5¹ × 13¹ × 137¹

Step-2: Prime Factorization of 8918

Prime factors of 8918 are 2, 7, 13. Prime factorization of 8918 in exponential form is:

8918 = 2¹ × 7³ × 13¹

Step-3: Factors of 8905

List of positive integer factors of 8905 that divides 8905 without a remainder.

1, 5, 13, 65, 137, 685, 1781

Step-4: Factors of 8918

List of positive integer factors of 8918 that divides 8905 without a remainder.

1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8905 and 8918. The biggest common factor number is the GCF number.
So the greatest common factor 8905 and 8918 is 13.

Also check out the Least Common Multiple of 8905 and 8918