What is the Greatest Common Factor of 31075 and 31086?

Greatest common factor (GCF) of 31075 and 31086 is 11.

GCF(31075,31086) = 11

We will now calculate the prime factors of 31075 and 31086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31075 and 31086.

How to find the GCF of 31075 and 31086?

We will first find the prime factorization of 31075 and 31086. After we will calculate the factors of 31075 and 31086 and find the biggest common factor number .

Step-1: Prime Factorization of 31075

Prime factors of 31075 are 5, 11, 113. Prime factorization of 31075 in exponential form is:

31075 = 5² × 11¹ × 113¹

Step-2: 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-3: Factors of 31075

List of positive integer factors of 31075 that divides 31075 without a remainder.

1, 5, 11, 25, 55, 113, 275, 565, 1243, 2825, 6215

Step-4: Factors of 31086

List of positive integer factors of 31086 that divides 31075 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31075 and 31086. The biggest common factor number is the GCF number.
So the greatest common factor 31075 and 31086 is 11.

Also check out the Least Common Multiple of 31075 and 31086