What is the Greatest Common Factor of 31086 and 31104?

Greatest common factor (GCF) of 31086 and 31104 is 18.

GCF(31086,31104) = 18

We will now calculate the prime factors of 31086 and 31104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31086 and 31104.

How to find the GCF of 31086 and 31104?

We will first find the prime factorization of 31086 and 31104. After we will calculate the factors of 31086 and 31104 and find the biggest common factor number .

Step-1: Prime Factorization of 31086

Prime factors of 31086 are 2, 3, 11, 157. Prime factorization of 31086 in exponential form is:

31086 = 2¹ × 3² × 11¹ × 157¹

Step-2: Prime Factorization of 31104

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

31104 = 2⁷ × 3⁵

Step-3: Factors of 31086

List of positive integer factors of 31086 that divides 31086 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 157, 198, 314, 471, 942, 1413, 1727, 2826, 3454, 5181, 10362, 15543

Step-4: Factors of 31104

List of positive integer factors of 31104 that divides 31086 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31086 and 31104. The biggest common factor number is the GCF number.
So the greatest common factor 31086 and 31104 is 18.

Also check out the Least Common Multiple of 31086 and 31104