What is the Greatest Common Factor of 31098 and 31114?

Greatest common factor (GCF) of 31098 and 31114 is 2.

GCF(31098,31114) = 2

We will now calculate the prime factors of 31098 and 31114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31098 and 31114.

How to find the GCF of 31098 and 31114?

We will first find the prime factorization of 31098 and 31114. After we will calculate the factors of 31098 and 31114 and find the biggest common factor number .

Step-1: Prime Factorization of 31098

Prime factors of 31098 are 2, 3, 71, 73. Prime factorization of 31098 in exponential form is:

31098 = 2¹ × 3¹ × 71¹ × 73¹

Step-2: Prime Factorization of 31114

Prime factors of 31114 are 2, 47, 331. Prime factorization of 31114 in exponential form is:

31114 = 2¹ × 47¹ × 331¹

Step-3: Factors of 31098

List of positive integer factors of 31098 that divides 31098 without a remainder.

1, 2, 3, 6, 71, 73, 142, 146, 213, 219, 426, 438, 5183, 10366, 15549

Step-4: Factors of 31114

List of positive integer factors of 31114 that divides 31098 without a remainder.

1, 2, 47, 94, 331, 662, 15557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31098 and 31114. The biggest common factor number is the GCF number.
So the greatest common factor 31098 and 31114 is 2.

Also check out the Least Common Multiple of 31098 and 31114