What is the Greatest Common Factor of 31428 and 31441?

Greatest common factor (GCF) of 31428 and 31441 is 1.

GCF(31428,31441) = 1

We will now calculate the prime factors of 31428 and 31441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31428 and 31441.

How to find the GCF of 31428 and 31441?

We will first find the prime factorization of 31428 and 31441. After we will calculate the factors of 31428 and 31441 and find the biggest common factor number .

Step-1: Prime Factorization of 31428

Prime factors of 31428 are 2, 3, 97. Prime factorization of 31428 in exponential form is:

31428 = 2² × 3⁴ × 97¹

Step-2: Prime Factorization of 31441

Prime factors of 31441 are 23, 1367. Prime factorization of 31441 in exponential form is:

31441 = 23¹ × 1367¹

Step-3: Factors of 31428

List of positive integer factors of 31428 that divides 31428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 97, 108, 162, 194, 291, 324, 388, 582, 873, 1164, 1746, 2619, 3492, 5238, 7857, 10476, 15714

Step-4: Factors of 31441

List of positive integer factors of 31441 that divides 31428 without a remainder.

1, 23, 1367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31428 and 31441. The biggest common factor number is the GCF number.
So the greatest common factor 31428 and 31441 is 1.

Also check out the Least Common Multiple of 31428 and 31441