What is the Greatest Common Factor of 31888 and 31902?

Greatest common factor (GCF) of 31888 and 31902 is 2.

GCF(31888,31902) = 2

We will now calculate the prime factors of 31888 and 31902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31888 and 31902.

How to find the GCF of 31888 and 31902?

We will first find the prime factorization of 31888 and 31902. After we will calculate the factors of 31888 and 31902 and find the biggest common factor number .

Step-1: Prime Factorization of 31888

Prime factors of 31888 are 2, 1993. Prime factorization of 31888 in exponential form is:

31888 = 2⁴ × 1993¹

Step-2: Prime Factorization of 31902

Prime factors of 31902 are 2, 3, 13, 409. Prime factorization of 31902 in exponential form is:

31902 = 2¹ × 3¹ × 13¹ × 409¹

Step-3: Factors of 31888

List of positive integer factors of 31888 that divides 31888 without a remainder.

1, 2, 4, 8, 16, 1993, 3986, 7972, 15944

Step-4: Factors of 31902

List of positive integer factors of 31902 that divides 31888 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 409, 818, 1227, 2454, 5317, 10634, 15951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31888 and 31902. The biggest common factor number is the GCF number.
So the greatest common factor 31888 and 31902 is 2.

Also check out the Least Common Multiple of 31888 and 31902