What is the Greatest Common Factor of 31274 and 31293?

Greatest common factor (GCF) of 31274 and 31293 is 19.

GCF(31274,31293) = 19

We will now calculate the prime factors of 31274 and 31293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31274 and 31293.

How to find the GCF of 31274 and 31293?

We will first find the prime factorization of 31274 and 31293. After we will calculate the factors of 31274 and 31293 and find the biggest common factor number .

Step-1: Prime Factorization of 31274

Prime factors of 31274 are 2, 19, 823. Prime factorization of 31274 in exponential form is:

31274 = 2¹ × 19¹ × 823¹

Step-2: 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-3: Factors of 31274

List of positive integer factors of 31274 that divides 31274 without a remainder.

1, 2, 19, 38, 823, 1646, 15637

Step-4: Factors of 31293

List of positive integer factors of 31293 that divides 31274 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31274 and 31293. The biggest common factor number is the GCF number.
So the greatest common factor 31274 and 31293 is 19.

Also check out the Least Common Multiple of 31274 and 31293