What is the Greatest Common Factor of 43460 and 43475?

Greatest common factor (GCF) of 43460 and 43475 is 5.

GCF(43460,43475) = 5

We will now calculate the prime factors of 43460 and 43475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43460 and 43475.

How to find the GCF of 43460 and 43475?

We will first find the prime factorization of 43460 and 43475. After we will calculate the factors of 43460 and 43475 and find the biggest common factor number .

Step-1: Prime Factorization of 43460

Prime factors of 43460 are 2, 5, 41, 53. Prime factorization of 43460 in exponential form is:

43460 = 2² × 5¹ × 41¹ × 53¹

Step-2: Prime Factorization of 43475

Prime factors of 43475 are 5, 37, 47. Prime factorization of 43475 in exponential form is:

43475 = 5² × 37¹ × 47¹

Step-3: Factors of 43460

List of positive integer factors of 43460 that divides 43460 without a remainder.

1, 2, 4, 5, 10, 20, 41, 53, 82, 106, 164, 205, 212, 265, 410, 530, 820, 1060, 2173, 4346, 8692, 10865, 21730

Step-4: Factors of 43475

List of positive integer factors of 43475 that divides 43460 without a remainder.

1, 5, 25, 37, 47, 185, 235, 925, 1175, 1739, 8695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43460 and 43475. The biggest common factor number is the GCF number.
So the greatest common factor 43460 and 43475 is 5.

Also check out the Least Common Multiple of 43460 and 43475