What is the Greatest Common Factor of 31993 and 32011?

Greatest common factor (GCF) of 31993 and 32011 is 1.

GCF(31993,32011) = 1

We will now calculate the prime factors of 31993 and 32011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31993 and 32011.

How to find the GCF of 31993 and 32011?

We will first find the prime factorization of 31993 and 32011. After we will calculate the factors of 31993 and 32011 and find the biggest common factor number .

Step-1: Prime Factorization of 31993

Prime factors of 31993 are 13, 23, 107. Prime factorization of 31993 in exponential form is:

31993 = 13¹ × 23¹ × 107¹

Step-2: Prime Factorization of 32011

Prime factors of 32011 are 7, 17, 269. Prime factorization of 32011 in exponential form is:

32011 = 7¹ × 17¹ × 269¹

Step-3: Factors of 31993

List of positive integer factors of 31993 that divides 31993 without a remainder.

1, 13, 23, 107, 299, 1391, 2461

Step-4: Factors of 32011

List of positive integer factors of 32011 that divides 31993 without a remainder.

1, 7, 17, 119, 269, 1883, 4573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31993 and 32011. The biggest common factor number is the GCF number.
So the greatest common factor 31993 and 32011 is 1.

Also check out the Least Common Multiple of 31993 and 32011