What is the Greatest Common Factor of 73845 and 73850?

Greatest common factor (GCF) of 73845 and 73850 is 5.

GCF(73845,73850) = 5

We will now calculate the prime factors of 73845 and 73850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73845 and 73850.

How to find the GCF of 73845 and 73850?

We will first find the prime factorization of 73845 and 73850. After we will calculate the factors of 73845 and 73850 and find the biggest common factor number .

Step-1: Prime Factorization of 73845

Prime factors of 73845 are 3, 5, 547. Prime factorization of 73845 in exponential form is:

73845 = 3³ × 5¹ × 547¹

Step-2: Prime Factorization of 73850

Prime factors of 73850 are 2, 5, 7, 211. Prime factorization of 73850 in exponential form is:

73850 = 2¹ × 5² × 7¹ × 211¹

Step-3: Factors of 73845

List of positive integer factors of 73845 that divides 73845 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 547, 1641, 2735, 4923, 8205, 14769, 24615

Step-4: Factors of 73850

List of positive integer factors of 73850 that divides 73845 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 211, 350, 422, 1055, 1477, 2110, 2954, 5275, 7385, 10550, 14770, 36925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73845 and 73850. The biggest common factor number is the GCF number.
So the greatest common factor 73845 and 73850 is 5.

Also check out the Least Common Multiple of 73845 and 73850