What is the Greatest Common Factor of 31376 and 31391?

Greatest common factor (GCF) of 31376 and 31391 is 1.

GCF(31376,31391) = 1

We will now calculate the prime factors of 31376 and 31391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31376 and 31391.

How to find the GCF of 31376 and 31391?

We will first find the prime factorization of 31376 and 31391. After we will calculate the factors of 31376 and 31391 and find the biggest common factor number .

Step-1: Prime Factorization of 31376

Prime factors of 31376 are 2, 37, 53. Prime factorization of 31376 in exponential form is:

31376 = 2⁴ × 37¹ × 53¹

Step-2: Prime Factorization of 31391

Prime factors of 31391 are 31391. Prime factorization of 31391 in exponential form is:

31391 = 31391¹

Step-3: Factors of 31376

List of positive integer factors of 31376 that divides 31376 without a remainder.

1, 2, 4, 8, 16, 37, 53, 74, 106, 148, 212, 296, 424, 592, 848, 1961, 3922, 7844, 15688

Step-4: Factors of 31391

List of positive integer factors of 31391 that divides 31376 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31376 and 31391. The biggest common factor number is the GCF number.
So the greatest common factor 31376 and 31391 is 1.

Also check out the Least Common Multiple of 31376 and 31391