What is the Greatest Common Factor of 31339 and 31350?

Greatest common factor (GCF) of 31339 and 31350 is 11.

GCF(31339,31350) = 11

We will now calculate the prime factors of 31339 and 31350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31339 and 31350.

How to find the GCF of 31339 and 31350?

We will first find the prime factorization of 31339 and 31350. After we will calculate the factors of 31339 and 31350 and find the biggest common factor number .

Step-1: Prime Factorization of 31339

Prime factors of 31339 are 7, 11, 37. Prime factorization of 31339 in exponential form is:

31339 = 7¹ × 11² × 37¹

Step-2: Prime Factorization of 31350

Prime factors of 31350 are 2, 3, 5, 11, 19. Prime factorization of 31350 in exponential form is:

31350 = 2¹ × 3¹ × 5² × 11¹ × 19¹

Step-3: Factors of 31339

List of positive integer factors of 31339 that divides 31339 without a remainder.

1, 7, 11, 37, 77, 121, 259, 407, 847, 2849, 4477

Step-4: Factors of 31350

List of positive integer factors of 31350 that divides 31339 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 25, 30, 33, 38, 50, 55, 57, 66, 75, 95, 110, 114, 150, 165, 190, 209, 275, 285, 330, 418, 475, 550, 570, 627, 825, 950, 1045, 1254, 1425, 1650, 2090, 2850, 3135, 5225, 6270, 10450, 15675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31339 and 31350. The biggest common factor number is the GCF number.
So the greatest common factor 31339 and 31350 is 11.

Also check out the Least Common Multiple of 31339 and 31350