What is the Greatest Common Factor of 8900 and 8920?

Greatest common factor (GCF) of 8900 and 8920 is 20.

GCF(8900,8920) = 20

We will now calculate the prime factors of 8900 and 8920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8900 and 8920.

How to find the GCF of 8900 and 8920?

We will first find the prime factorization of 8900 and 8920. After we will calculate the factors of 8900 and 8920 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 8920

Prime factors of 8920 are 2, 5, 223. Prime factorization of 8920 in exponential form is:

8920 = 2³ × 5¹ × 223¹

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 8920

List of positive integer factors of 8920 that divides 8900 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8900 and 8920. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8920 is 20.

Also check out the Least Common Multiple of 8900 and 8920