What is the Greatest Common Factor of 31029 and 31044?

Greatest common factor (GCF) of 31029 and 31044 is 3.

GCF(31029,31044) = 3

We will now calculate the prime factors of 31029 and 31044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31029 and 31044.

How to find the GCF of 31029 and 31044?

We will first find the prime factorization of 31029 and 31044. After we will calculate the factors of 31029 and 31044 and find the biggest common factor number .

Step-1: Prime Factorization of 31029

Prime factors of 31029 are 3, 10343. Prime factorization of 31029 in exponential form is:

31029 = 3¹ × 10343¹

Step-2: Prime Factorization of 31044

Prime factors of 31044 are 2, 3, 13, 199. Prime factorization of 31044 in exponential form is:

31044 = 2² × 3¹ × 13¹ × 199¹

Step-3: Factors of 31029

List of positive integer factors of 31029 that divides 31029 without a remainder.

1, 3, 10343

Step-4: Factors of 31044

List of positive integer factors of 31044 that divides 31029 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 199, 398, 597, 796, 1194, 2388, 2587, 5174, 7761, 10348, 15522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31029 and 31044. The biggest common factor number is the GCF number.
So the greatest common factor 31029 and 31044 is 3.

Also check out the Least Common Multiple of 31029 and 31044