What is the Greatest Common Factor of 31420 and 31434?

Greatest common factor (GCF) of 31420 and 31434 is 2.

GCF(31420,31434) = 2

We will now calculate the prime factors of 31420 and 31434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31420 and 31434.

How to find the GCF of 31420 and 31434?

We will first find the prime factorization of 31420 and 31434. After we will calculate the factors of 31420 and 31434 and find the biggest common factor number .

Step-1: Prime Factorization of 31420

Prime factors of 31420 are 2, 5, 1571. Prime factorization of 31420 in exponential form is:

31420 = 2² × 5¹ × 1571¹

Step-2: 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-3: Factors of 31420

List of positive integer factors of 31420 that divides 31420 without a remainder.

1, 2, 4, 5, 10, 20, 1571, 3142, 6284, 7855, 15710

Step-4: Factors of 31434

List of positive integer factors of 31434 that divides 31420 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31420 and 31434. The biggest common factor number is the GCF number.
So the greatest common factor 31420 and 31434 is 2.

Also check out the Least Common Multiple of 31420 and 31434