What is the Greatest Common Factor of 31431 and 31449?

Greatest common factor (GCF) of 31431 and 31449 is 3.

GCF(31431,31449) = 3

We will now calculate the prime factors of 31431 and 31449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31431 and 31449.

How to find the GCF of 31431 and 31449?

We will first find the prime factorization of 31431 and 31449. After we will calculate the factors of 31431 and 31449 and find the biggest common factor number .

Step-1: Prime Factorization of 31431

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

31431 = 3¹ × 10477¹

Step-2: Prime Factorization of 31449

Prime factors of 31449 are 3, 11, 953. Prime factorization of 31449 in exponential form is:

31449 = 3¹ × 11¹ × 953¹

Step-3: Factors of 31431

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

1, 3, 10477

Step-4: Factors of 31449

List of positive integer factors of 31449 that divides 31431 without a remainder.

1, 3, 11, 33, 953, 2859, 10483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31431 and 31449. The biggest common factor number is the GCF number.
So the greatest common factor 31431 and 31449 is 3.

Also check out the Least Common Multiple of 31431 and 31449