What is the Greatest Common Factor of 43452 and 43460?

Greatest common factor (GCF) of 43452 and 43460 is 4.

GCF(43452,43460) = 4

We will now calculate the prime factors of 43452 and 43460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43452 and 43460.

How to find the GCF of 43452 and 43460?

We will first find the prime factorization of 43452 and 43460. After we will calculate the factors of 43452 and 43460 and find the biggest common factor number .

Step-1: Prime Factorization of 43452

Prime factors of 43452 are 2, 3, 17, 71. Prime factorization of 43452 in exponential form is:

43452 = 2² × 3² × 17¹ × 71¹

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 43452

List of positive integer factors of 43452 that divides 43452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 71, 102, 142, 153, 204, 213, 284, 306, 426, 612, 639, 852, 1207, 1278, 2414, 2556, 3621, 4828, 7242, 10863, 14484, 21726

Step-4: Factors of 43460

List of positive integer factors of 43460 that divides 43452 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 43452 and 43460. The biggest common factor number is the GCF number.
So the greatest common factor 43452 and 43460 is 4.

Also check out the Least Common Multiple of 43452 and 43460