What is the Greatest Common Factor of 997 and 1003?

Greatest common factor (GCF) of 997 and 1003 is 1.

GCF(997,1003) = 1

We will now calculate the prime factors of 997 and 1003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 997 and 1003.

How to find the GCF of 997 and 1003?

We will first find the prime factorization of 997 and 1003. After we will calculate the factors of 997 and 1003 and find the biggest common factor number .

Step-1: Prime Factorization of 997

Prime factors of 997 are 997. Prime factorization of 997 in exponential form is:

997 = 997¹

Step-2: Prime Factorization of 1003

Prime factors of 1003 are 17, 59. Prime factorization of 1003 in exponential form is:

1003 = 17¹ × 59¹

Step-3: Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

Step-4: Factors of 1003

List of positive integer factors of 1003 that divides 997 without a remainder.

1, 17, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 997 and 1003. The biggest common factor number is the GCF number.
So the greatest common factor 997 and 1003 is 1.

Also check out the Least Common Multiple of 997 and 1003