What is the Greatest Common Factor of 31434 and 31447?

Greatest common factor (GCF) of 31434 and 31447 is 13.

GCF(31434,31447) = 13

We will now calculate the prime factors of 31434 and 31447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31434 and 31447.

How to find the GCF of 31434 and 31447?

We will first find the prime factorization of 31434 and 31447. After we will calculate the factors of 31434 and 31447 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 31447

Prime factors of 31447 are 13, 41, 59. Prime factorization of 31447 in exponential form is:

31447 = 13¹ × 41¹ × 59¹

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 31447

List of positive integer factors of 31447 that divides 31434 without a remainder.

1, 13, 41, 59, 533, 767, 2419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31434 and 31447. The biggest common factor number is the GCF number.
So the greatest common factor 31434 and 31447 is 13.

Also check out the Least Common Multiple of 31434 and 31447