What is the Greatest Common Factor of 31646 and 31662?

Greatest common factor (GCF) of 31646 and 31662 is 2.

GCF(31646,31662) = 2

We will now calculate the prime factors of 31646 and 31662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31646 and 31662.

How to find the GCF of 31646 and 31662?

We will first find the prime factorization of 31646 and 31662. After we will calculate the factors of 31646 and 31662 and find the biggest common factor number .

Step-1: Prime Factorization of 31646

Prime factors of 31646 are 2, 15823. Prime factorization of 31646 in exponential form is:

31646 = 2¹ × 15823¹

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 31646

List of positive integer factors of 31646 that divides 31646 without a remainder.

1, 2, 15823

Step-4: Factors of 31662

List of positive integer factors of 31662 that divides 31646 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 31646 and 31662. The biggest common factor number is the GCF number.
So the greatest common factor 31646 and 31662 is 2.

Also check out the Least Common Multiple of 31646 and 31662