What is the Greatest Common Factor of 31044 and 31050?

Greatest common factor (GCF) of 31044 and 31050 is 6.

GCF(31044,31050) = 6

We will now calculate the prime factors of 31044 and 31050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31044 and 31050.

How to find the GCF of 31044 and 31050?

We will first find the prime factorization of 31044 and 31050. After we will calculate the factors of 31044 and 31050 and find the biggest common factor number .

Step-1: Prime Factorization of 31044

Prime factors of 31044 are 2, 3, 13, 199. Prime factorization of 31044 in exponential form is:

31044 = 2² × 3¹ × 13¹ × 199¹

Step-2: 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-3: Factors of 31044

List of positive integer factors of 31044 that divides 31044 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 199, 398, 597, 796, 1194, 2388, 2587, 5174, 7761, 10348, 15522

Step-4: Factors of 31050

List of positive integer factors of 31050 that divides 31044 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31044 and 31050. The biggest common factor number is the GCF number.
So the greatest common factor 31044 and 31050 is 6.

Also check out the Least Common Multiple of 31044 and 31050