What is the Greatest Common Factor of 45805 and 45825?

Greatest common factor (GCF) of 45805 and 45825 is 5.

GCF(45805,45825) = 5

We will now calculate the prime factors of 45805 and 45825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45805 and 45825.

How to find the GCF of 45805 and 45825?

We will first find the prime factorization of 45805 and 45825. After we will calculate the factors of 45805 and 45825 and find the biggest common factor number .

Step-1: Prime Factorization of 45805

Prime factors of 45805 are 5, 9161. Prime factorization of 45805 in exponential form is:

45805 = 5¹ × 9161¹

Step-2: Prime Factorization of 45825

Prime factors of 45825 are 3, 5, 13, 47. Prime factorization of 45825 in exponential form is:

45825 = 3¹ × 5² × 13¹ × 47¹

Step-3: Factors of 45805

List of positive integer factors of 45805 that divides 45805 without a remainder.

1, 5, 9161

Step-4: Factors of 45825

List of positive integer factors of 45825 that divides 45805 without a remainder.

1, 3, 5, 13, 15, 25, 39, 47, 65, 75, 141, 195, 235, 325, 611, 705, 975, 1175, 1833, 3055, 3525, 9165, 15275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45805 and 45825. The biggest common factor number is the GCF number.
So the greatest common factor 45805 and 45825 is 5.

Also check out the Least Common Multiple of 45805 and 45825