What is the Greatest Common Factor of 31412 and 31428?

Greatest common factor (GCF) of 31412 and 31428 is 4.

GCF(31412,31428) = 4

We will now calculate the prime factors of 31412 and 31428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31412 and 31428.

How to find the GCF of 31412 and 31428?

We will first find the prime factorization of 31412 and 31428. After we will calculate the factors of 31412 and 31428 and find the biggest common factor number .

Step-1: Prime Factorization of 31412

Prime factors of 31412 are 2, 7853. Prime factorization of 31412 in exponential form is:

31412 = 2² × 7853¹

Step-2: 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-3: Factors of 31412

List of positive integer factors of 31412 that divides 31412 without a remainder.

1, 2, 4, 7853, 15706

Step-4: Factors of 31428

List of positive integer factors of 31428 that divides 31412 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31412 and 31428. The biggest common factor number is the GCF number.
So the greatest common factor 31412 and 31428 is 4.

Also check out the Least Common Multiple of 31412 and 31428