What is the Greatest Common Factor of 31344 and 31362?

Greatest common factor (GCF) of 31344 and 31362 is 6.

GCF(31344,31362) = 6

We will now calculate the prime factors of 31344 and 31362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31344 and 31362.

How to find the GCF of 31344 and 31362?

We will first find the prime factorization of 31344 and 31362. After we will calculate the factors of 31344 and 31362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31362

Prime factors of 31362 are 2, 3, 5227. Prime factorization of 31362 in exponential form is:

31362 = 2¹ × 3¹ × 5227¹

Step-3: Factors of 31344

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

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

Step-4: Factors of 31362

List of positive integer factors of 31362 that divides 31344 without a remainder.

1, 2, 3, 6, 5227, 10454, 15681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31344 and 31362. The biggest common factor number is the GCF number.
So the greatest common factor 31344 and 31362 is 6.

Also check out the Least Common Multiple of 31344 and 31362