What is the Greatest Common Factor of 31758 and 31767?

Greatest common factor (GCF) of 31758 and 31767 is 3.

GCF(31758,31767) = 3

We will now calculate the prime factors of 31758 and 31767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31758 and 31767.

How to find the GCF of 31758 and 31767?

We will first find the prime factorization of 31758 and 31767. After we will calculate the factors of 31758 and 31767 and find the biggest common factor number .

Step-1: Prime Factorization of 31758

Prime factors of 31758 are 2, 3, 67, 79. Prime factorization of 31758 in exponential form is:

31758 = 2¹ × 3¹ × 67¹ × 79¹

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 31758

List of positive integer factors of 31758 that divides 31758 without a remainder.

1, 2, 3, 6, 67, 79, 134, 158, 201, 237, 402, 474, 5293, 10586, 15879

Step-4: Factors of 31767

List of positive integer factors of 31767 that divides 31758 without a remainder.

1, 3, 10589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31758 and 31767. The biggest common factor number is the GCF number.
So the greatest common factor 31758 and 31767 is 3.

Also check out the Least Common Multiple of 31758 and 31767