What is the Greatest Common Factor of 31118 and 31134?

Greatest common factor (GCF) of 31118 and 31134 is 2.

GCF(31118,31134) = 2

We will now calculate the prime factors of 31118 and 31134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31118 and 31134.

How to find the GCF of 31118 and 31134?

We will first find the prime factorization of 31118 and 31134. After we will calculate the factors of 31118 and 31134 and find the biggest common factor number .

Step-1: Prime Factorization of 31118

Prime factors of 31118 are 2, 15559. Prime factorization of 31118 in exponential form is:

31118 = 2¹ × 15559¹

Step-2: Prime Factorization of 31134

Prime factors of 31134 are 2, 3, 5189. Prime factorization of 31134 in exponential form is:

31134 = 2¹ × 3¹ × 5189¹

Step-3: Factors of 31118

List of positive integer factors of 31118 that divides 31118 without a remainder.

1, 2, 15559

Step-4: Factors of 31134

List of positive integer factors of 31134 that divides 31118 without a remainder.

1, 2, 3, 6, 5189, 10378, 15567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31118 and 31134. The biggest common factor number is the GCF number.
So the greatest common factor 31118 and 31134 is 2.

Also check out the Least Common Multiple of 31118 and 31134