What is the Greatest Common Factor of 31912 and 31932?

Greatest common factor (GCF) of 31912 and 31932 is 4.

GCF(31912,31932) = 4

We will now calculate the prime factors of 31912 and 31932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31912 and 31932.

How to find the GCF of 31912 and 31932?

We will first find the prime factorization of 31912 and 31932. After we will calculate the factors of 31912 and 31932 and find the biggest common factor number .

Step-1: Prime Factorization of 31912

Prime factors of 31912 are 2, 3989. Prime factorization of 31912 in exponential form is:

31912 = 2³ × 3989¹

Step-2: Prime Factorization of 31932

Prime factors of 31932 are 2, 3, 887. Prime factorization of 31932 in exponential form is:

31932 = 2² × 3² × 887¹

Step-3: Factors of 31912

List of positive integer factors of 31912 that divides 31912 without a remainder.

1, 2, 4, 8, 3989, 7978, 15956

Step-4: Factors of 31932

List of positive integer factors of 31932 that divides 31912 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 887, 1774, 2661, 3548, 5322, 7983, 10644, 15966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31912 and 31932. The biggest common factor number is the GCF number.
So the greatest common factor 31912 and 31932 is 4.

Also check out the Least Common Multiple of 31912 and 31932