What is the Greatest Common Factor of 43454 and 43460?

Greatest common factor (GCF) of 43454 and 43460 is 2.

GCF(43454,43460) = 2

We will now calculate the prime factors of 43454 and 43460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43454 and 43460.

How to find the GCF of 43454 and 43460?

We will first find the prime factorization of 43454 and 43460. After we will calculate the factors of 43454 and 43460 and find the biggest common factor number .

Step-1: Prime Factorization of 43454

Prime factors of 43454 are 2, 21727. Prime factorization of 43454 in exponential form is:

43454 = 2¹ × 21727¹

Step-2: 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-3: Factors of 43454

List of positive integer factors of 43454 that divides 43454 without a remainder.

1, 2, 21727

Step-4: Factors of 43460

List of positive integer factors of 43460 that divides 43454 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43454 and 43460. The biggest common factor number is the GCF number.
So the greatest common factor 43454 and 43460 is 2.

Also check out the Least Common Multiple of 43454 and 43460