What is the Greatest Common Factor of 31662 and 31681?

Greatest common factor (GCF) of 31662 and 31681 is 1.

GCF(31662,31681) = 1

We will now calculate the prime factors of 31662 and 31681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31662 and 31681.

How to find the GCF of 31662 and 31681?

We will first find the prime factorization of 31662 and 31681. After we will calculate the factors of 31662 and 31681 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31681

Prime factors of 31681 are 13, 2437. Prime factorization of 31681 in exponential form is:

31681 = 13¹ × 2437¹

Step-3: Factors of 31662

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

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

Step-4: Factors of 31681

List of positive integer factors of 31681 that divides 31662 without a remainder.

1, 13, 2437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31662 and 31681. The biggest common factor number is the GCF number.
So the greatest common factor 31662 and 31681 is 1.

Also check out the Least Common Multiple of 31662 and 31681