What is the Greatest Common Factor of 10023 and 10041?

Greatest common factor (GCF) of 10023 and 10041 is 3.

GCF(10023,10041) = 3

We will now calculate the prime factors of 10023 and 10041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10023 and 10041.

How to find the GCF of 10023 and 10041?

We will first find the prime factorization of 10023 and 10041. After we will calculate the factors of 10023 and 10041 and find the biggest common factor number .

Step-1: Prime Factorization of 10023

Prime factors of 10023 are 3, 13, 257. Prime factorization of 10023 in exponential form is:

10023 = 3¹ × 13¹ × 257¹

Step-2: Prime Factorization of 10041

Prime factors of 10041 are 3, 3347. Prime factorization of 10041 in exponential form is:

10041 = 3¹ × 3347¹

Step-3: Factors of 10023

List of positive integer factors of 10023 that divides 10023 without a remainder.

1, 3, 13, 39, 257, 771, 3341

Step-4: Factors of 10041

List of positive integer factors of 10041 that divides 10023 without a remainder.

1, 3, 3347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10023 and 10041. The biggest common factor number is the GCF number.
So the greatest common factor 10023 and 10041 is 3.

Also check out the Least Common Multiple of 10023 and 10041