What is the Greatest Common Factor of 31984 and 32003?

Greatest common factor (GCF) of 31984 and 32003 is 1.

GCF(31984,32003) = 1

We will now calculate the prime factors of 31984 and 32003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31984 and 32003.

How to find the GCF of 31984 and 32003?

We will first find the prime factorization of 31984 and 32003. After we will calculate the factors of 31984 and 32003 and find the biggest common factor number .

Step-1: Prime Factorization of 31984

Prime factors of 31984 are 2, 1999. Prime factorization of 31984 in exponential form is:

31984 = 2⁴ × 1999¹

Step-2: Prime Factorization of 32003

Prime factors of 32003 are 32003. Prime factorization of 32003 in exponential form is:

32003 = 32003¹

Step-3: Factors of 31984

List of positive integer factors of 31984 that divides 31984 without a remainder.

1, 2, 4, 8, 16, 1999, 3998, 7996, 15992

Step-4: Factors of 32003

List of positive integer factors of 32003 that divides 31984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31984 and 32003. The biggest common factor number is the GCF number.
So the greatest common factor 31984 and 32003 is 1.

Also check out the Least Common Multiple of 31984 and 32003