What is the Greatest Common Factor of 31665 and 31677?

Greatest common factor (GCF) of 31665 and 31677 is 3.

GCF(31665,31677) = 3

We will now calculate the prime factors of 31665 and 31677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31665 and 31677.

How to find the GCF of 31665 and 31677?

We will first find the prime factorization of 31665 and 31677. After we will calculate the factors of 31665 and 31677 and find the biggest common factor number .

Step-1: Prime Factorization of 31665

Prime factors of 31665 are 3, 5, 2111. Prime factorization of 31665 in exponential form is:

31665 = 3¹ × 5¹ × 2111¹

Step-2: Prime Factorization of 31677

Prime factors of 31677 are 3, 10559. Prime factorization of 31677 in exponential form is:

31677 = 3¹ × 10559¹

Step-3: Factors of 31665

List of positive integer factors of 31665 that divides 31665 without a remainder.

1, 3, 5, 15, 2111, 6333, 10555

Step-4: Factors of 31677

List of positive integer factors of 31677 that divides 31665 without a remainder.

1, 3, 10559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31665 and 31677. The biggest common factor number is the GCF number.
So the greatest common factor 31665 and 31677 is 3.

Also check out the Least Common Multiple of 31665 and 31677