What is the Greatest Common Factor of 31592 and 31610?

Greatest common factor (GCF) of 31592 and 31610 is 2.

GCF(31592,31610) = 2

We will now calculate the prime factors of 31592 and 31610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31592 and 31610.

How to find the GCF of 31592 and 31610?

We will first find the prime factorization of 31592 and 31610. After we will calculate the factors of 31592 and 31610 and find the biggest common factor number .

Step-1: Prime Factorization of 31592

Prime factors of 31592 are 2, 11, 359. Prime factorization of 31592 in exponential form is:

31592 = 2³ × 11¹ × 359¹

Step-2: Prime Factorization of 31610

Prime factors of 31610 are 2, 5, 29, 109. Prime factorization of 31610 in exponential form is:

31610 = 2¹ × 5¹ × 29¹ × 109¹

Step-3: Factors of 31592

List of positive integer factors of 31592 that divides 31592 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 359, 718, 1436, 2872, 3949, 7898, 15796

Step-4: Factors of 31610

List of positive integer factors of 31610 that divides 31592 without a remainder.

1, 2, 5, 10, 29, 58, 109, 145, 218, 290, 545, 1090, 3161, 6322, 15805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31592 and 31610. The biggest common factor number is the GCF number.
So the greatest common factor 31592 and 31610 is 2.

Also check out the Least Common Multiple of 31592 and 31610