What is the Greatest Common Factor of 31714 and 31730?

Greatest common factor (GCF) of 31714 and 31730 is 2.

GCF(31714,31730) = 2

We will now calculate the prime factors of 31714 and 31730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31714 and 31730.

How to find the GCF of 31714 and 31730?

We will first find the prime factorization of 31714 and 31730. After we will calculate the factors of 31714 and 31730 and find the biggest common factor number .

Step-1: Prime Factorization of 31714

Prime factors of 31714 are 2, 101, 157. Prime factorization of 31714 in exponential form is:

31714 = 2¹ × 101¹ × 157¹

Step-2: Prime Factorization of 31730

Prime factors of 31730 are 2, 5, 19, 167. Prime factorization of 31730 in exponential form is:

31730 = 2¹ × 5¹ × 19¹ × 167¹

Step-3: Factors of 31714

List of positive integer factors of 31714 that divides 31714 without a remainder.

1, 2, 101, 157, 202, 314, 15857

Step-4: Factors of 31730

List of positive integer factors of 31730 that divides 31714 without a remainder.

1, 2, 5, 10, 19, 38, 95, 167, 190, 334, 835, 1670, 3173, 6346, 15865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31714 and 31730. The biggest common factor number is the GCF number.
So the greatest common factor 31714 and 31730 is 2.

Also check out the Least Common Multiple of 31714 and 31730