What is the Greatest Common Factor of 31781 and 31801?

Greatest common factor (GCF) of 31781 and 31801 is 1.

GCF(31781,31801) = 1

We will now calculate the prime factors of 31781 and 31801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31781 and 31801.

How to find the GCF of 31781 and 31801?

We will first find the prime factorization of 31781 and 31801. After we will calculate the factors of 31781 and 31801 and find the biggest common factor number .

Step-1: Prime Factorization of 31781

Prime factors of 31781 are 61, 521. Prime factorization of 31781 in exponential form is:

31781 = 61¹ × 521¹

Step-2: Prime Factorization of 31801

Prime factors of 31801 are 7, 11, 59. Prime factorization of 31801 in exponential form is:

31801 = 7² × 11¹ × 59¹

Step-3: Factors of 31781

List of positive integer factors of 31781 that divides 31781 without a remainder.

1, 61, 521

Step-4: Factors of 31801

List of positive integer factors of 31801 that divides 31781 without a remainder.

1, 7, 11, 49, 59, 77, 413, 539, 649, 2891, 4543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31781 and 31801. The biggest common factor number is the GCF number.
So the greatest common factor 31781 and 31801 is 1.

Also check out the Least Common Multiple of 31781 and 31801