What is the Greatest Common Factor of 31035 and 31050?

Greatest common factor (GCF) of 31035 and 31050 is 15.

GCF(31035,31050) = 15

We will now calculate the prime factors of 31035 and 31050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31035 and 31050.

How to find the GCF of 31035 and 31050?

We will first find the prime factorization of 31035 and 31050. After we will calculate the factors of 31035 and 31050 and find the biggest common factor number .

Step-1: Prime Factorization of 31035

Prime factors of 31035 are 3, 5, 2069. Prime factorization of 31035 in exponential form is:

31035 = 3¹ × 5¹ × 2069¹

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 31035

List of positive integer factors of 31035 that divides 31035 without a remainder.

1, 3, 5, 15, 2069, 6207, 10345

Step-4: Factors of 31050

List of positive integer factors of 31050 that divides 31035 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 31035 and 31050. The biggest common factor number is the GCF number.
So the greatest common factor 31035 and 31050 is 15.

Also check out the Least Common Multiple of 31035 and 31050