What is the Greatest Common Factor of 31992 and 32006?

Greatest common factor (GCF) of 31992 and 32006 is 2.

GCF(31992,32006) = 2

We will now calculate the prime factors of 31992 and 32006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31992 and 32006.

How to find the GCF of 31992 and 32006?

We will first find the prime factorization of 31992 and 32006. After we will calculate the factors of 31992 and 32006 and find the biggest common factor number .

Step-1: Prime Factorization of 31992

Prime factors of 31992 are 2, 3, 31, 43. Prime factorization of 31992 in exponential form is:

31992 = 2³ × 3¹ × 31¹ × 43¹

Step-2: Prime Factorization of 32006

Prime factors of 32006 are 2, 13, 1231. Prime factorization of 32006 in exponential form is:

32006 = 2¹ × 13¹ × 1231¹

Step-3: Factors of 31992

List of positive integer factors of 31992 that divides 31992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 43, 62, 86, 93, 124, 129, 172, 186, 248, 258, 344, 372, 516, 744, 1032, 1333, 2666, 3999, 5332, 7998, 10664, 15996

Step-4: Factors of 32006

List of positive integer factors of 32006 that divides 31992 without a remainder.

1, 2, 13, 26, 1231, 2462, 16003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31992 and 32006. The biggest common factor number is the GCF number.
So the greatest common factor 31992 and 32006 is 2.

Also check out the Least Common Multiple of 31992 and 32006