What is the Greatest Common Factor of 8900 and 8919?

Greatest common factor (GCF) of 8900 and 8919 is 1.

GCF(8900,8919) = 1

We will now calculate the prime factors of 8900 and 8919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8900 and 8919.

How to find the GCF of 8900 and 8919?

We will first find the prime factorization of 8900 and 8919. After we will calculate the factors of 8900 and 8919 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 8919

Prime factors of 8919 are 3, 991. Prime factorization of 8919 in exponential form is:

8919 = 3² × 991¹

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 8919

List of positive integer factors of 8919 that divides 8900 without a remainder.

1, 3, 9, 991, 2973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8900 and 8919. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8919 is 1.

Also check out the Least Common Multiple of 8900 and 8919