What is the Greatest Common Factor of 31050 and 31059?

Greatest common factor (GCF) of 31050 and 31059 is 9.

GCF(31050,31059) = 9

We will now calculate the prime factors of 31050 and 31059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31050 and 31059.

How to find the GCF of 31050 and 31059?

We will first find the prime factorization of 31050 and 31059. After we will calculate the factors of 31050 and 31059 and find the biggest common factor number .

Step-1: Prime Factorization of 31050

Prime factors of 31050 are 2, 3, 5, 23. Prime factorization of 31050 in exponential form is:

31050 = 2¹ × 3³ × 5² × 23¹

Step-2: Prime Factorization of 31059

Prime factors of 31059 are 3, 7, 17, 29. Prime factorization of 31059 in exponential form is:

31059 = 3² × 7¹ × 17¹ × 29¹

Step-3: Factors of 31050

List of positive integer factors of 31050 that divides 31050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 27, 30, 45, 46, 50, 54, 69, 75, 90, 115, 135, 138, 150, 207, 225, 230, 270, 345, 414, 450, 575, 621, 675, 690, 1035, 1150, 1242, 1350, 1725, 2070, 3105, 3450, 5175, 6210, 10350, 15525

Step-4: Factors of 31059

List of positive integer factors of 31059 that divides 31050 without a remainder.

1, 3, 7, 9, 17, 21, 29, 51, 63, 87, 119, 153, 203, 261, 357, 493, 609, 1071, 1479, 1827, 3451, 4437, 10353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31050 and 31059. The biggest common factor number is the GCF number.
So the greatest common factor 31050 and 31059 is 9.

Also check out the Least Common Multiple of 31050 and 31059