What is the Greatest Common Factor of 31078 and 31084?

Greatest common factor (GCF) of 31078 and 31084 is 2.

GCF(31078,31084) = 2

We will now calculate the prime factors of 31078 and 31084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31078 and 31084.

How to find the GCF of 31078 and 31084?

We will first find the prime factorization of 31078 and 31084. After we will calculate the factors of 31078 and 31084 and find the biggest common factor number .

Step-1: Prime Factorization of 31078

Prime factors of 31078 are 2, 41, 379. Prime factorization of 31078 in exponential form is:

31078 = 2¹ × 41¹ × 379¹

Step-2: Prime Factorization of 31084

Prime factors of 31084 are 2, 19, 409. Prime factorization of 31084 in exponential form is:

31084 = 2² × 19¹ × 409¹

Step-3: Factors of 31078

List of positive integer factors of 31078 that divides 31078 without a remainder.

1, 2, 41, 82, 379, 758, 15539

Step-4: Factors of 31084

List of positive integer factors of 31084 that divides 31078 without a remainder.

1, 2, 4, 19, 38, 76, 409, 818, 1636, 7771, 15542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31078 and 31084. The biggest common factor number is the GCF number.
So the greatest common factor 31078 and 31084 is 2.

Also check out the Least Common Multiple of 31078 and 31084