What is the Greatest Common Factor of 10089 and 10100?

Greatest common factor (GCF) of 10089 and 10100 is 1.

GCF(10089,10100) = 1

We will now calculate the prime factors of 10089 and 10100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10089 and 10100.

How to find the GCF of 10089 and 10100?

We will first find the prime factorization of 10089 and 10100. After we will calculate the factors of 10089 and 10100 and find the biggest common factor number .

Step-1: Prime Factorization of 10089

Prime factors of 10089 are 3, 19, 59. Prime factorization of 10089 in exponential form is:

10089 = 3² × 19¹ × 59¹

Step-2: Prime Factorization of 10100

Prime factors of 10100 are 2, 5, 101. Prime factorization of 10100 in exponential form is:

10100 = 2² × 5² × 101¹

Step-3: Factors of 10089

List of positive integer factors of 10089 that divides 10089 without a remainder.

1, 3, 9, 19, 57, 59, 171, 177, 531, 1121, 3363

Step-4: Factors of 10100

List of positive integer factors of 10100 that divides 10089 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 202, 404, 505, 1010, 2020, 2525, 5050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10089 and 10100. The biggest common factor number is the GCF number.
So the greatest common factor 10089 and 10100 is 1.

Also check out the Least Common Multiple of 10089 and 10100