What is the Greatest Common Factor of 31647 and 31663?

Greatest common factor (GCF) of 31647 and 31663 is 1.

GCF(31647,31663) = 1

We will now calculate the prime factors of 31647 and 31663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31647 and 31663.

How to find the GCF of 31647 and 31663?

We will first find the prime factorization of 31647 and 31663. After we will calculate the factors of 31647 and 31663 and find the biggest common factor number .

Step-1: Prime Factorization of 31647

Prime factors of 31647 are 3, 7, 11, 137. Prime factorization of 31647 in exponential form is:

31647 = 3¹ × 7¹ × 11¹ × 137¹

Step-2: Prime Factorization of 31663

Prime factors of 31663 are 31663. Prime factorization of 31663 in exponential form is:

31663 = 31663¹

Step-3: Factors of 31647

List of positive integer factors of 31647 that divides 31647 without a remainder.

1, 3, 7, 11, 21, 33, 77, 137, 231, 411, 959, 1507, 2877, 4521, 10549

Step-4: Factors of 31663

List of positive integer factors of 31663 that divides 31647 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31647 and 31663. The biggest common factor number is the GCF number.
So the greatest common factor 31647 and 31663 is 1.

Also check out the Least Common Multiple of 31647 and 31663