What is the Greatest Common Factor of 31720 and 31729?

Greatest common factor (GCF) of 31720 and 31729 is 1.

GCF(31720,31729) = 1

We will now calculate the prime factors of 31720 and 31729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31720 and 31729.

How to find the GCF of 31720 and 31729?

We will first find the prime factorization of 31720 and 31729. After we will calculate the factors of 31720 and 31729 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 31729

Prime factors of 31729 are 31729. Prime factorization of 31729 in exponential form is:

31729 = 31729¹

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 31729

List of positive integer factors of 31729 that divides 31720 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31720 and 31729. The biggest common factor number is the GCF number.
So the greatest common factor 31720 and 31729 is 1.

Also check out the Least Common Multiple of 31720 and 31729