What is the Greatest Common Factor of 31635 and 31641?

Greatest common factor (GCF) of 31635 and 31641 is 3.

GCF(31635,31641) = 3

We will now calculate the prime factors of 31635 and 31641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31635 and 31641.

How to find the GCF of 31635 and 31641?

We will first find the prime factorization of 31635 and 31641. After we will calculate the factors of 31635 and 31641 and find the biggest common factor number .

Step-1: Prime Factorization of 31635

Prime factors of 31635 are 3, 5, 19, 37. Prime factorization of 31635 in exponential form is:

31635 = 3² × 5¹ × 19¹ × 37¹

Step-2: Prime Factorization of 31641

Prime factors of 31641 are 3, 53, 199. Prime factorization of 31641 in exponential form is:

31641 = 3¹ × 53¹ × 199¹

Step-3: Factors of 31635

List of positive integer factors of 31635 that divides 31635 without a remainder.

1, 3, 5, 9, 15, 19, 37, 45, 57, 95, 111, 171, 185, 285, 333, 555, 703, 855, 1665, 2109, 3515, 6327, 10545

Step-4: Factors of 31641

List of positive integer factors of 31641 that divides 31635 without a remainder.

1, 3, 53, 159, 199, 597, 10547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31635 and 31641. The biggest common factor number is the GCF number.
So the greatest common factor 31635 and 31641 is 3.

Also check out the Least Common Multiple of 31635 and 31641