What is the Greatest Common Factor of 31656 and 31662?

Greatest common factor (GCF) of 31656 and 31662 is 6.

GCF(31656,31662) = 6

We will now calculate the prime factors of 31656 and 31662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31656 and 31662.

How to find the GCF of 31656 and 31662?

We will first find the prime factorization of 31656 and 31662. After we will calculate the factors of 31656 and 31662 and find the biggest common factor number .

Step-1: Prime Factorization of 31656

Prime factors of 31656 are 2, 3, 1319. Prime factorization of 31656 in exponential form is:

31656 = 2³ × 3¹ × 1319¹

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 31656

List of positive integer factors of 31656 that divides 31656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1319, 2638, 3957, 5276, 7914, 10552, 15828

Step-4: Factors of 31662

List of positive integer factors of 31662 that divides 31656 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 31656 and 31662. The biggest common factor number is the GCF number.
So the greatest common factor 31656 and 31662 is 6.

Also check out the Least Common Multiple of 31656 and 31662