What is the Greatest Common Factor of 31050 and 31056?

Greatest common factor (GCF) of 31050 and 31056 is 6.

GCF(31050,31056) = 6

We will now calculate the prime factors of 31050 and 31056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31050 and 31056.

How to find the GCF of 31050 and 31056?

We will first find the prime factorization of 31050 and 31056. After we will calculate the factors of 31050 and 31056 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 31056

Prime factors of 31056 are 2, 3, 647. Prime factorization of 31056 in exponential form is:

31056 = 2⁴ × 3¹ × 647¹

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 31056

List of positive integer factors of 31056 that divides 31050 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 647, 1294, 1941, 2588, 3882, 5176, 7764, 10352, 15528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31050 and 31056. The biggest common factor number is the GCF number.
So the greatest common factor 31050 and 31056 is 6.

Also check out the Least Common Multiple of 31050 and 31056