What is the Greatest Common Factor of 31338 and 31344?

Greatest common factor (GCF) of 31338 and 31344 is 6.

GCF(31338,31344) = 6

We will now calculate the prime factors of 31338 and 31344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31338 and 31344.

How to find the GCF of 31338 and 31344?

We will first find the prime factorization of 31338 and 31344. After we will calculate the factors of 31338 and 31344 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 31344

Prime factors of 31344 are 2, 3, 653. Prime factorization of 31344 in exponential form is:

31344 = 2⁴ × 3¹ × 653¹

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 31344

List of positive integer factors of 31344 that divides 31338 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 653, 1306, 1959, 2612, 3918, 5224, 7836, 10448, 15672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31338 and 31344. The biggest common factor number is the GCF number.
So the greatest common factor 31338 and 31344 is 6.

Also check out the Least Common Multiple of 31338 and 31344