What is the Greatest Common Factor of 10023 and 10037?

Greatest common factor (GCF) of 10023 and 10037 is 1.

GCF(10023,10037) = 1

We will now calculate the prime factors of 10023 and 10037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10023 and 10037.

How to find the GCF of 10023 and 10037?

We will first find the prime factorization of 10023 and 10037. After we will calculate the factors of 10023 and 10037 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 10037

Prime factors of 10037 are 10037. Prime factorization of 10037 in exponential form is:

10037 = 10037¹

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 10037

List of positive integer factors of 10037 that divides 10023 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10023 and 10037. The biggest common factor number is the GCF number.
So the greatest common factor 10023 and 10037 is 1.

Also check out the Least Common Multiple of 10023 and 10037