What is the Greatest Common Factor of 30997 and 31010?

Greatest common factor (GCF) of 30997 and 31010 is 1.

GCF(30997,31010) = 1

We will now calculate the prime factors of 30997 and 31010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30997 and 31010.

How to find the GCF of 30997 and 31010?

We will first find the prime factorization of 30997 and 31010. After we will calculate the factors of 30997 and 31010 and find the biggest common factor number .

Step-1: Prime Factorization of 30997

Prime factors of 30997 are 139, 223. Prime factorization of 30997 in exponential form is:

30997 = 139¹ × 223¹

Step-2: Prime Factorization of 31010

Prime factors of 31010 are 2, 5, 7, 443. Prime factorization of 31010 in exponential form is:

31010 = 2¹ × 5¹ × 7¹ × 443¹

Step-3: Factors of 30997

List of positive integer factors of 30997 that divides 30997 without a remainder.

1, 139, 223

Step-4: Factors of 31010

List of positive integer factors of 31010 that divides 30997 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 443, 886, 2215, 3101, 4430, 6202, 15505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30997 and 31010. The biggest common factor number is the GCF number.
So the greatest common factor 30997 and 31010 is 1.

Also check out the Least Common Multiple of 30997 and 31010