What is the Greatest Common Factor of 10023 and 10036?

Greatest common factor (GCF) of 10023 and 10036 is 13.

GCF(10023,10036) = 13

We will now calculate the prime factors of 10023 and 10036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10023 and 10036.

How to find the GCF of 10023 and 10036?

We will first find the prime factorization of 10023 and 10036. After we will calculate the factors of 10023 and 10036 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 10036

Prime factors of 10036 are 2, 13, 193. Prime factorization of 10036 in exponential form is:

10036 = 2² × 13¹ × 193¹

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 10036

List of positive integer factors of 10036 that divides 10023 without a remainder.

1, 2, 4, 13, 26, 52, 193, 386, 772, 2509, 5018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10023 and 10036. The biggest common factor number is the GCF number.
So the greatest common factor 10023 and 10036 is 13.

Also check out the Least Common Multiple of 10023 and 10036