What is the Greatest Common Factor of 31003 and 31007?

Greatest common factor (GCF) of 31003 and 31007 is 1.

GCF(31003,31007) = 1

We will now calculate the prime factors of 31003 and 31007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31003 and 31007.

How to find the GCF of 31003 and 31007?

We will first find the prime factorization of 31003 and 31007. After we will calculate the factors of 31003 and 31007 and find the biggest common factor number .

Step-1: Prime Factorization of 31003

Prime factors of 31003 are 7, 43, 103. Prime factorization of 31003 in exponential form is:

31003 = 7¹ × 43¹ × 103¹

Step-2: Prime Factorization of 31007

Prime factors of 31007 are 101, 307. Prime factorization of 31007 in exponential form is:

31007 = 101¹ × 307¹

Step-3: Factors of 31003

List of positive integer factors of 31003 that divides 31003 without a remainder.

1, 7, 43, 103, 301, 721, 4429

Step-4: Factors of 31007

List of positive integer factors of 31007 that divides 31003 without a remainder.

1, 101, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31003 and 31007. The biggest common factor number is the GCF number.
So the greatest common factor 31003 and 31007 is 1.

Also check out the Least Common Multiple of 31003 and 31007