What is the Greatest Common Factor of 5850 and 5870?

Greatest common factor (GCF) of 5850 and 5870 is 10.

GCF(5850,5870) = 10

We will now calculate the prime factors of 5850 and 5870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5850 and 5870.

How to find the GCF of 5850 and 5870?

We will first find the prime factorization of 5850 and 5870. After we will calculate the factors of 5850 and 5870 and find the biggest common factor number .

Step-1: Prime Factorization of 5850

Prime factors of 5850 are 2, 3, 5, 13. Prime factorization of 5850 in exponential form is:

5850 = 2¹ × 3² × 5² × 13¹

Step-2: Prime Factorization of 5870

Prime factors of 5870 are 2, 5, 587. Prime factorization of 5870 in exponential form is:

5870 = 2¹ × 5¹ × 587¹

Step-3: Factors of 5850

List of positive integer factors of 5850 that divides 5850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925

Step-4: Factors of 5870

List of positive integer factors of 5870 that divides 5850 without a remainder.

1, 2, 5, 10, 587, 1174, 2935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5850 and 5870. The biggest common factor number is the GCF number.
So the greatest common factor 5850 and 5870 is 10.

Also check out the Least Common Multiple of 5850 and 5870