What is the Greatest Common Factor of 31434 and 31442?

Greatest common factor (GCF) of 31434 and 31442 is 2.

GCF(31434,31442) = 2

We will now calculate the prime factors of 31434 and 31442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31434 and 31442.

How to find the GCF of 31434 and 31442?

We will first find the prime factorization of 31434 and 31442. After we will calculate the factors of 31434 and 31442 and find the biggest common factor number .

Step-1: Prime Factorization of 31434

Prime factors of 31434 are 2, 3, 13, 31. Prime factorization of 31434 in exponential form is:

31434 = 2¹ × 3¹ × 13² × 31¹

Step-2: Prime Factorization of 31442

Prime factors of 31442 are 2, 79, 199. Prime factorization of 31442 in exponential form is:

31442 = 2¹ × 79¹ × 199¹

Step-3: Factors of 31434

List of positive integer factors of 31434 that divides 31434 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 169, 186, 338, 403, 507, 806, 1014, 1209, 2418, 5239, 10478, 15717

Step-4: Factors of 31442

List of positive integer factors of 31442 that divides 31434 without a remainder.

1, 2, 79, 158, 199, 398, 15721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31434 and 31442. The biggest common factor number is the GCF number.
So the greatest common factor 31434 and 31442 is 2.

Also check out the Least Common Multiple of 31434 and 31442