What is the Greatest Common Factor of 31600 and 31610?

Greatest common factor (GCF) of 31600 and 31610 is 10.

GCF(31600,31610) = 10

We will now calculate the prime factors of 31600 and 31610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31600 and 31610.

How to find the GCF of 31600 and 31610?

We will first find the prime factorization of 31600 and 31610. After we will calculate the factors of 31600 and 31610 and find the biggest common factor number .

Step-1: Prime Factorization of 31600

Prime factors of 31600 are 2, 5, 79. Prime factorization of 31600 in exponential form is:

31600 = 2⁴ × 5² × 79¹

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 31600

List of positive integer factors of 31600 that divides 31600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 79, 80, 100, 158, 200, 316, 395, 400, 632, 790, 1264, 1580, 1975, 3160, 3950, 6320, 7900, 15800

Step-4: Factors of 31610

List of positive integer factors of 31610 that divides 31600 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 31600 and 31610. The biggest common factor number is the GCF number.
So the greatest common factor 31600 and 31610 is 10.

Also check out the Least Common Multiple of 31600 and 31610