What is the Greatest Common Factor of 31293 and 31305?

Greatest common factor (GCF) of 31293 and 31305 is 3.

GCF(31293,31305) = 3

We will now calculate the prime factors of 31293 and 31305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31293 and 31305.

How to find the GCF of 31293 and 31305?

We will first find the prime factorization of 31293 and 31305. After we will calculate the factors of 31293 and 31305 and find the biggest common factor number .

Step-1: Prime Factorization of 31293

Prime factors of 31293 are 3, 19, 61. Prime factorization of 31293 in exponential form is:

31293 = 3³ × 19¹ × 61¹

Step-2: 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-3: Factors of 31293

List of positive integer factors of 31293 that divides 31293 without a remainder.

1, 3, 9, 19, 27, 57, 61, 171, 183, 513, 549, 1159, 1647, 3477, 10431

Step-4: Factors of 31305

List of positive integer factors of 31305 that divides 31293 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31293 and 31305. The biggest common factor number is the GCF number.
So the greatest common factor 31293 and 31305 is 3.

Also check out the Least Common Multiple of 31293 and 31305