What is the Greatest Common Factor of 31050 and 31068?

Greatest common factor (GCF) of 31050 and 31068 is 18.

GCF(31050,31068) = 18

We will now calculate the prime factors of 31050 and 31068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31050 and 31068.

How to find the GCF of 31050 and 31068?

We will first find the prime factorization of 31050 and 31068. After we will calculate the factors of 31050 and 31068 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 31068

Prime factors of 31068 are 2, 3, 863. Prime factorization of 31068 in exponential form is:

31068 = 2² × 3² × 863¹

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 31068

List of positive integer factors of 31068 that divides 31050 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 863, 1726, 2589, 3452, 5178, 7767, 10356, 15534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31050 and 31068. The biggest common factor number is the GCF number.
So the greatest common factor 31050 and 31068 is 18.

Also check out the Least Common Multiple of 31050 and 31068