What is the Greatest Common Factor of 31255 and 31274?

Greatest common factor (GCF) of 31255 and 31274 is 19.

GCF(31255,31274) = 19

We will now calculate the prime factors of 31255 and 31274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31255 and 31274.

How to find the GCF of 31255 and 31274?

We will first find the prime factorization of 31255 and 31274. After we will calculate the factors of 31255 and 31274 and find the biggest common factor number .

Step-1: Prime Factorization of 31255

Prime factors of 31255 are 5, 7, 19, 47. Prime factorization of 31255 in exponential form is:

31255 = 5¹ × 7¹ × 19¹ × 47¹

Step-2: 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-3: Factors of 31255

List of positive integer factors of 31255 that divides 31255 without a remainder.

1, 5, 7, 19, 35, 47, 95, 133, 235, 329, 665, 893, 1645, 4465, 6251

Step-4: Factors of 31274

List of positive integer factors of 31274 that divides 31255 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31255 and 31274. The biggest common factor number is the GCF number.
So the greatest common factor 31255 and 31274 is 19.

Also check out the Least Common Multiple of 31255 and 31274