What is the Greatest Common Factor of 985 and 1000?

Greatest common factor (GCF) of 985 and 1000 is 5.

GCF(985,1000) = 5

We will now calculate the prime factors of 985 and 1000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 985 and 1000.

How to find the GCF of 985 and 1000?

We will first find the prime factorization of 985 and 1000. After we will calculate the factors of 985 and 1000 and find the biggest common factor number .

Step-1: Prime Factorization of 985

Prime factors of 985 are 5, 197. Prime factorization of 985 in exponential form is:

985 = 5¹ × 197¹

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 985

List of positive integer factors of 985 that divides 985 without a remainder.

1, 5, 197

Step-4: Factors of 1000

List of positive integer factors of 1000 that divides 985 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 985 and 1000. The biggest common factor number is the GCF number.
So the greatest common factor 985 and 1000 is 5.

Also check out the Least Common Multiple of 985 and 1000