What is the Greatest Common Factor of 31424 and 31431?

Greatest common factor (GCF) of 31424 and 31431 is 1.

GCF(31424,31431) = 1

We will now calculate the prime factors of 31424 and 31431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31424 and 31431.

How to find the GCF of 31424 and 31431?

We will first find the prime factorization of 31424 and 31431. After we will calculate the factors of 31424 and 31431 and find the biggest common factor number .

Step-1: Prime Factorization of 31424

Prime factors of 31424 are 2, 491. Prime factorization of 31424 in exponential form is:

31424 = 2⁶ × 491¹

Step-2: Prime Factorization of 31431

Prime factors of 31431 are 3, 10477. Prime factorization of 31431 in exponential form is:

31431 = 3¹ × 10477¹

Step-3: Factors of 31424

List of positive integer factors of 31424 that divides 31424 without a remainder.

1, 2, 4, 8, 16, 32, 64, 491, 982, 1964, 3928, 7856, 15712

Step-4: Factors of 31431

List of positive integer factors of 31431 that divides 31424 without a remainder.

1, 3, 10477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31424 and 31431. The biggest common factor number is the GCF number.
So the greatest common factor 31424 and 31431 is 1.

Also check out the Least Common Multiple of 31424 and 31431