What is the Greatest Common Factor of 981 and 1000?

Greatest common factor (GCF) of 981 and 1000 is 1.

GCF(981,1000) = 1

We will now calculate the prime factors of 981 and 1000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 981 and 1000.

How to find the GCF of 981 and 1000?

We will first find the prime factorization of 981 and 1000. After we will calculate the factors of 981 and 1000 and find the biggest common factor number .

Step-1: Prime Factorization of 981

Prime factors of 981 are 3, 109. Prime factorization of 981 in exponential form is:

981 = 3² × 109¹

Step-2: Prime Factorization of 1000

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

1000 = 2³ × 5³

Step-3: Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327

Step-4: Factors of 1000

List of positive integer factors of 1000 that divides 981 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 981 and 1000. The biggest common factor number is the GCF number.
So the greatest common factor 981 and 1000 is 1.

Also check out the Least Common Multiple of 981 and 1000