What is the Greatest Common Factor of 31305 and 31310?

Greatest common factor (GCF) of 31305 and 31310 is 5.

GCF(31305,31310) = 5

We will now calculate the prime factors of 31305 and 31310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31305 and 31310.

How to find the GCF of 31305 and 31310?

We will first find the prime factorization of 31305 and 31310. After we will calculate the factors of 31305 and 31310 and find the biggest common factor number .

Step-1: Prime Factorization of 31305

Prime factors of 31305 are 3, 5, 2087. Prime factorization of 31305 in exponential form is:

31305 = 3¹ × 5¹ × 2087¹

Step-2: Prime Factorization of 31310

Prime factors of 31310 are 2, 5, 31, 101. Prime factorization of 31310 in exponential form is:

31310 = 2¹ × 5¹ × 31¹ × 101¹

Step-3: Factors of 31305

List of positive integer factors of 31305 that divides 31305 without a remainder.

1, 3, 5, 15, 2087, 6261, 10435

Step-4: Factors of 31310

List of positive integer factors of 31310 that divides 31305 without a remainder.

1, 2, 5, 10, 31, 62, 101, 155, 202, 310, 505, 1010, 3131, 6262, 15655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31305 and 31310. The biggest common factor number is the GCF number.
So the greatest common factor 31305 and 31310 is 5.

Also check out the Least Common Multiple of 31305 and 31310