What is the Greatest Common Factor of 8900 and 8918?

Greatest common factor (GCF) of 8900 and 8918 is 2.

GCF(8900,8918) = 2

We will now calculate the prime factors of 8900 and 8918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8900 and 8918.

How to find the GCF of 8900 and 8918?

We will first find the prime factorization of 8900 and 8918. After we will calculate the factors of 8900 and 8918 and find the biggest common factor number .

Step-1: Prime Factorization of 8900

Prime factors of 8900 are 2, 5, 89. Prime factorization of 8900 in exponential form is:

8900 = 2² × 5² × 89¹

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 8900

List of positive integer factors of 8900 that divides 8900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450

Step-4: Factors of 8918

List of positive integer factors of 8918 that divides 8900 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 8900 and 8918. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8918 is 2.

Also check out the Least Common Multiple of 8900 and 8918