What is the Greatest Common Factor of 31050 and 31070?

Greatest common factor (GCF) of 31050 and 31070 is 10.

GCF(31050,31070) = 10

We will now calculate the prime factors of 31050 and 31070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31050 and 31070.

How to find the GCF of 31050 and 31070?

We will first find the prime factorization of 31050 and 31070. After we will calculate the factors of 31050 and 31070 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 31070

Prime factors of 31070 are 2, 5, 13, 239. Prime factorization of 31070 in exponential form is:

31070 = 2¹ × 5¹ × 13¹ × 239¹

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 31070

List of positive integer factors of 31070 that divides 31050 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 239, 478, 1195, 2390, 3107, 6214, 15535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31050 and 31070. The biggest common factor number is the GCF number.
So the greatest common factor 31050 and 31070 is 10.

Also check out the Least Common Multiple of 31050 and 31070