What is the Greatest Common Factor of 31338 and 31356?

Greatest common factor (GCF) of 31338 and 31356 is 18.

GCF(31338,31356) = 18

We will now calculate the prime factors of 31338 and 31356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31338 and 31356.

How to find the GCF of 31338 and 31356?

We will first find the prime factorization of 31338 and 31356. After we will calculate the factors of 31338 and 31356 and find the biggest common factor number .

Step-1: Prime Factorization of 31338

Prime factors of 31338 are 2, 3, 1741. Prime factorization of 31338 in exponential form is:

31338 = 2¹ × 3² × 1741¹

Step-2: Prime Factorization of 31356

Prime factors of 31356 are 2, 3, 13, 67. Prime factorization of 31356 in exponential form is:

31356 = 2² × 3² × 13¹ × 67¹

Step-3: Factors of 31338

List of positive integer factors of 31338 that divides 31338 without a remainder.

1, 2, 3, 6, 9, 18, 1741, 3482, 5223, 10446, 15669

Step-4: Factors of 31356

List of positive integer factors of 31356 that divides 31338 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 67, 78, 117, 134, 156, 201, 234, 268, 402, 468, 603, 804, 871, 1206, 1742, 2412, 2613, 3484, 5226, 7839, 10452, 15678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31338 and 31356. The biggest common factor number is the GCF number.
So the greatest common factor 31338 and 31356 is 18.

Also check out the Least Common Multiple of 31338 and 31356