What is the Greatest Common Factor of 31644 and 31662?

Greatest common factor (GCF) of 31644 and 31662 is 18.

GCF(31644,31662) = 18

We will now calculate the prime factors of 31644 and 31662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31644 and 31662.

How to find the GCF of 31644 and 31662?

We will first find the prime factorization of 31644 and 31662. After we will calculate the factors of 31644 and 31662 and find the biggest common factor number .

Step-1: Prime Factorization of 31644

Prime factors of 31644 are 2, 3, 293. Prime factorization of 31644 in exponential form is:

31644 = 2² × 3³ × 293¹

Step-2: Prime Factorization of 31662

Prime factors of 31662 are 2, 3, 1759. Prime factorization of 31662 in exponential form is:

31662 = 2¹ × 3² × 1759¹

Step-3: Factors of 31644

List of positive integer factors of 31644 that divides 31644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 293, 586, 879, 1172, 1758, 2637, 3516, 5274, 7911, 10548, 15822

Step-4: Factors of 31662

List of positive integer factors of 31662 that divides 31644 without a remainder.

1, 2, 3, 6, 9, 18, 1759, 3518, 5277, 10554, 15831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31644 and 31662. The biggest common factor number is the GCF number.
So the greatest common factor 31644 and 31662 is 18.

Also check out the Least Common Multiple of 31644 and 31662