What is the Greatest Common Factor of 8900 and 8907?

Greatest common factor (GCF) of 8900 and 8907 is 1.

GCF(8900,8907) = 1

We will now calculate the prime factors of 8900 and 8907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8900 and 8907.

How to find the GCF of 8900 and 8907?

We will first find the prime factorization of 8900 and 8907. After we will calculate the factors of 8900 and 8907 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 8907

Prime factors of 8907 are 3, 2969. Prime factorization of 8907 in exponential form is:

8907 = 3¹ × 2969¹

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 8907

List of positive integer factors of 8907 that divides 8900 without a remainder.

1, 3, 2969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8900 and 8907. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8907 is 1.

Also check out the Least Common Multiple of 8900 and 8907