What is the Greatest Common Factor of 5850 and 5865?

Greatest common factor (GCF) of 5850 and 5865 is 15.

GCF(5850,5865) = 15

We will now calculate the prime factors of 5850 and 5865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5850 and 5865.

How to find the GCF of 5850 and 5865?

We will first find the prime factorization of 5850 and 5865. After we will calculate the factors of 5850 and 5865 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 5865

Prime factors of 5865 are 3, 5, 17, 23. Prime factorization of 5865 in exponential form is:

5865 = 3¹ × 5¹ × 17¹ × 23¹

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 5865

List of positive integer factors of 5865 that divides 5850 without a remainder.

1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5850 and 5865. The biggest common factor number is the GCF number.
So the greatest common factor 5850 and 5865 is 15.

Also check out the Least Common Multiple of 5850 and 5865