What is the Greatest Common Factor of 31050 and 31065?

Greatest common factor (GCF) of 31050 and 31065 is 15.

GCF(31050,31065) = 15

We will now calculate the prime factors of 31050 and 31065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31050 and 31065.

How to find the GCF of 31050 and 31065?

We will first find the prime factorization of 31050 and 31065. After we will calculate the factors of 31050 and 31065 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 31065

Prime factors of 31065 are 3, 5, 19, 109. Prime factorization of 31065 in exponential form is:

31065 = 3¹ × 5¹ × 19¹ × 109¹

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 31065

List of positive integer factors of 31065 that divides 31050 without a remainder.

1, 3, 5, 15, 19, 57, 95, 109, 285, 327, 545, 1635, 2071, 6213, 10355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31050 and 31065. The biggest common factor number is the GCF number.
So the greatest common factor 31050 and 31065 is 15.

Also check out the Least Common Multiple of 31050 and 31065