What is the Greatest Common Factor of 31908 and 31927?

Greatest common factor (GCF) of 31908 and 31927 is 1.

GCF(31908,31927) = 1

We will now calculate the prime factors of 31908 and 31927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31908 and 31927.

How to find the GCF of 31908 and 31927?

We will first find the prime factorization of 31908 and 31927. After we will calculate the factors of 31908 and 31927 and find the biggest common factor number .

Step-1: Prime Factorization of 31908

Prime factors of 31908 are 2, 3, 2659. Prime factorization of 31908 in exponential form is:

31908 = 2² × 3¹ × 2659¹

Step-2: Prime Factorization of 31927

Prime factors of 31927 are 7, 4561. Prime factorization of 31927 in exponential form is:

31927 = 7¹ × 4561¹

Step-3: Factors of 31908

List of positive integer factors of 31908 that divides 31908 without a remainder.

1, 2, 3, 4, 6, 12, 2659, 5318, 7977, 10636, 15954

Step-4: Factors of 31927

List of positive integer factors of 31927 that divides 31908 without a remainder.

1, 7, 4561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31908 and 31927. The biggest common factor number is the GCF number.
So the greatest common factor 31908 and 31927 is 1.

Also check out the Least Common Multiple of 31908 and 31927