What is the Greatest Common Factor of 5850 and 5860?

Greatest common factor (GCF) of 5850 and 5860 is 10.

GCF(5850,5860) = 10

We will now calculate the prime factors of 5850 and 5860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5850 and 5860.

How to find the GCF of 5850 and 5860?

We will first find the prime factorization of 5850 and 5860. After we will calculate the factors of 5850 and 5860 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 5860

Prime factors of 5860 are 2, 5, 293. Prime factorization of 5860 in exponential form is:

5860 = 2² × 5¹ × 293¹

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 5860

List of positive integer factors of 5860 that divides 5850 without a remainder.

1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5850 and 5860. The biggest common factor number is the GCF number.
So the greatest common factor 5850 and 5860 is 10.

Also check out the Least Common Multiple of 5850 and 5860