What is the Greatest Common Factor of 31074 and 31082?

Greatest common factor (GCF) of 31074 and 31082 is 2.

GCF(31074,31082) = 2

We will now calculate the prime factors of 31074 and 31082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31074 and 31082.

How to find the GCF of 31074 and 31082?

We will first find the prime factorization of 31074 and 31082. After we will calculate the factors of 31074 and 31082 and find the biggest common factor number .

Step-1: Prime Factorization of 31074

Prime factors of 31074 are 2, 3, 5179. Prime factorization of 31074 in exponential form is:

31074 = 2¹ × 3¹ × 5179¹

Step-2: Prime Factorization of 31082

Prime factors of 31082 are 2, 15541. Prime factorization of 31082 in exponential form is:

31082 = 2¹ × 15541¹

Step-3: Factors of 31074

List of positive integer factors of 31074 that divides 31074 without a remainder.

1, 2, 3, 6, 5179, 10358, 15537

Step-4: Factors of 31082

List of positive integer factors of 31082 that divides 31074 without a remainder.

1, 2, 15541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31074 and 31082. The biggest common factor number is the GCF number.
So the greatest common factor 31074 and 31082 is 2.

Also check out the Least Common Multiple of 31074 and 31082