What is the Greatest Common Factor of 31720 and 31726?

Greatest common factor (GCF) of 31720 and 31726 is 2.

GCF(31720,31726) = 2

We will now calculate the prime factors of 31720 and 31726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31720 and 31726.

How to find the GCF of 31720 and 31726?

We will first find the prime factorization of 31720 and 31726. After we will calculate the factors of 31720 and 31726 and find the biggest common factor number .

Step-1: Prime Factorization of 31720

Prime factors of 31720 are 2, 5, 13, 61. Prime factorization of 31720 in exponential form is:

31720 = 2³ × 5¹ × 13¹ × 61¹

Step-2: Prime Factorization of 31726

Prime factors of 31726 are 2, 29, 547. Prime factorization of 31726 in exponential form is:

31726 = 2¹ × 29¹ × 547¹

Step-3: Factors of 31720

List of positive integer factors of 31720 that divides 31720 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 61, 65, 104, 122, 130, 244, 260, 305, 488, 520, 610, 793, 1220, 1586, 2440, 3172, 3965, 6344, 7930, 15860

Step-4: Factors of 31726

List of positive integer factors of 31726 that divides 31720 without a remainder.

1, 2, 29, 58, 547, 1094, 15863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31720 and 31726. The biggest common factor number is the GCF number.
So the greatest common factor 31720 and 31726 is 2.

Also check out the Least Common Multiple of 31720 and 31726