What is the Greatest Common Factor of 1000 and 1011?

Greatest common factor (GCF) of 1000 and 1011 is 1.

GCF(1000,1011) = 1

We will now calculate the prime factors of 1000 and 1011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1000 and 1011.

How to find the GCF of 1000 and 1011?

We will first find the prime factorization of 1000 and 1011. After we will calculate the factors of 1000 and 1011 and find the biggest common factor number .

Step-1: Prime Factorization of 1000

Prime factors of 1000 are 2, 5. Prime factorization of 1000 in exponential form is:

1000 = 2³ × 5³

Step-2: Prime Factorization of 1011

Prime factors of 1011 are 3, 337. Prime factorization of 1011 in exponential form is:

1011 = 3¹ × 337¹

Step-3: Factors of 1000

List of positive integer factors of 1000 that divides 1000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500

Step-4: Factors of 1011

List of positive integer factors of 1011 that divides 1000 without a remainder.

1, 3, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1000 and 1011. The biggest common factor number is the GCF number.
So the greatest common factor 1000 and 1011 is 1.

Also check out the Least Common Multiple of 1000 and 1011