What is the Greatest Common Factor of 31755 and 31767?

Greatest common factor (GCF) of 31755 and 31767 is 3.

GCF(31755,31767) = 3

We will now calculate the prime factors of 31755 and 31767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31755 and 31767.

How to find the GCF of 31755 and 31767?

We will first find the prime factorization of 31755 and 31767. After we will calculate the factors of 31755 and 31767 and find the biggest common factor number .

Step-1: Prime Factorization of 31755

Prime factors of 31755 are 3, 5, 29, 73. Prime factorization of 31755 in exponential form is:

31755 = 3¹ × 5¹ × 29¹ × 73¹

Step-2: Prime Factorization of 31767

Prime factors of 31767 are 3, 10589. Prime factorization of 31767 in exponential form is:

31767 = 3¹ × 10589¹

Step-3: Factors of 31755

List of positive integer factors of 31755 that divides 31755 without a remainder.

1, 3, 5, 15, 29, 73, 87, 145, 219, 365, 435, 1095, 2117, 6351, 10585

Step-4: Factors of 31767

List of positive integer factors of 31767 that divides 31755 without a remainder.

1, 3, 10589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31755 and 31767. The biggest common factor number is the GCF number.
So the greatest common factor 31755 and 31767 is 3.

Also check out the Least Common Multiple of 31755 and 31767