What is the Greatest Common Factor of 31758 and 31774?

Greatest common factor (GCF) of 31758 and 31774 is 2.

GCF(31758,31774) = 2

We will now calculate the prime factors of 31758 and 31774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31758 and 31774.

How to find the GCF of 31758 and 31774?

We will first find the prime factorization of 31758 and 31774. After we will calculate the factors of 31758 and 31774 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 31774

Prime factors of 31774 are 2, 15887. Prime factorization of 31774 in exponential form is:

31774 = 2¹ × 15887¹

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 31774

List of positive integer factors of 31774 that divides 31758 without a remainder.

1, 2, 15887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31758 and 31774. The biggest common factor number is the GCF number.
So the greatest common factor 31758 and 31774 is 2.

Also check out the Least Common Multiple of 31758 and 31774