What is the Greatest Common Factor of 8900 and 8914?

Greatest common factor (GCF) of 8900 and 8914 is 2.

GCF(8900,8914) = 2

We will now calculate the prime factors of 8900 and 8914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8900 and 8914.

How to find the GCF of 8900 and 8914?

We will first find the prime factorization of 8900 and 8914. After we will calculate the factors of 8900 and 8914 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 8914

Prime factors of 8914 are 2, 4457. Prime factorization of 8914 in exponential form is:

8914 = 2¹ × 4457¹

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 8914

List of positive integer factors of 8914 that divides 8900 without a remainder.

1, 2, 4457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8900 and 8914. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8914 is 2.

Also check out the Least Common Multiple of 8900 and 8914