What is the Greatest Common Factor of 10003 and 10011?

Greatest common factor (GCF) of 10003 and 10011 is 1.

GCF(10003,10011) = 1

We will now calculate the prime factors of 10003 and 10011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10003 and 10011.

How to find the GCF of 10003 and 10011?

We will first find the prime factorization of 10003 and 10011. After we will calculate the factors of 10003 and 10011 and find the biggest common factor number .

Step-1: Prime Factorization of 10003

Prime factors of 10003 are 7, 1429. Prime factorization of 10003 in exponential form is:

10003 = 7¹ × 1429¹

Step-2: Prime Factorization of 10011

Prime factors of 10011 are 3, 47, 71. Prime factorization of 10011 in exponential form is:

10011 = 3¹ × 47¹ × 71¹

Step-3: Factors of 10003

List of positive integer factors of 10003 that divides 10003 without a remainder.

1, 7, 1429

Step-4: Factors of 10011

List of positive integer factors of 10011 that divides 10003 without a remainder.

1, 3, 47, 71, 141, 213, 3337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10003 and 10011. The biggest common factor number is the GCF number.
So the greatest common factor 10003 and 10011 is 1.

Also check out the Least Common Multiple of 10003 and 10011