What is the Greatest Common Factor of 31104 and 31112?

Greatest common factor (GCF) of 31104 and 31112 is 8.

GCF(31104,31112) = 8

We will now calculate the prime factors of 31104 and 31112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31104 and 31112.

How to find the GCF of 31104 and 31112?

We will first find the prime factorization of 31104 and 31112. After we will calculate the factors of 31104 and 31112 and find the biggest common factor number .

Step-1: Prime Factorization of 31104

Prime factors of 31104 are 2, 3. Prime factorization of 31104 in exponential form is:

31104 = 2⁷ × 3⁵

Step-2: Prime Factorization of 31112

Prime factors of 31112 are 2, 3889. Prime factorization of 31112 in exponential form is:

31112 = 2³ × 3889¹

Step-3: Factors of 31104

List of positive integer factors of 31104 that divides 31104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 243, 288, 324, 384, 432, 486, 576, 648, 864, 972, 1152, 1296, 1728, 1944, 2592, 3456, 3888, 5184, 7776, 10368, 15552

Step-4: Factors of 31112

List of positive integer factors of 31112 that divides 31104 without a remainder.

1, 2, 4, 8, 3889, 7778, 15556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31104 and 31112. The biggest common factor number is the GCF number.
So the greatest common factor 31104 and 31112 is 8.

Also check out the Least Common Multiple of 31104 and 31112