What is the Greatest Common Factor of 31428 and 31445?

Greatest common factor (GCF) of 31428 and 31445 is 1.

GCF(31428,31445) = 1

We will now calculate the prime factors of 31428 and 31445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31428 and 31445.

How to find the GCF of 31428 and 31445?

We will first find the prime factorization of 31428 and 31445. After we will calculate the factors of 31428 and 31445 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 31445

Prime factors of 31445 are 5, 19, 331. Prime factorization of 31445 in exponential form is:

31445 = 5¹ × 19¹ × 331¹

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 31445

List of positive integer factors of 31445 that divides 31428 without a remainder.

1, 5, 19, 95, 331, 1655, 6289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31428 and 31445. The biggest common factor number is the GCF number.
So the greatest common factor 31428 and 31445 is 1.

Also check out the Least Common Multiple of 31428 and 31445