What is the Greatest Common Factor of 5840 and 5850?

Greatest common factor (GCF) of 5840 and 5850 is 10.

GCF(5840,5850) = 10

We will now calculate the prime factors of 5840 and 5850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5840 and 5850.

How to find the GCF of 5840 and 5850?

We will first find the prime factorization of 5840 and 5850. After we will calculate the factors of 5840 and 5850 and find the biggest common factor number .

Step-1: Prime Factorization of 5840

Prime factors of 5840 are 2, 5, 73. Prime factorization of 5840 in exponential form is:

5840 = 2⁴ × 5¹ × 73¹

Step-2: 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-3: Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920

Step-4: Factors of 5850

List of positive integer factors of 5850 that divides 5840 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5840 and 5850. The biggest common factor number is the GCF number.
So the greatest common factor 5840 and 5850 is 10.

Also check out the Least Common Multiple of 5840 and 5850