What is the Greatest Common Factor of 43452 and 43471?

Greatest common factor (GCF) of 43452 and 43471 is 1.

GCF(43452,43471) = 1

We will now calculate the prime factors of 43452 and 43471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43452 and 43471.

How to find the GCF of 43452 and 43471?

We will first find the prime factorization of 43452 and 43471. After we will calculate the factors of 43452 and 43471 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 43471

Prime factors of 43471 are 29, 1499. Prime factorization of 43471 in exponential form is:

43471 = 29¹ × 1499¹

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 43471

List of positive integer factors of 43471 that divides 43452 without a remainder.

1, 29, 1499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43452 and 43471. The biggest common factor number is the GCF number.
So the greatest common factor 43452 and 43471 is 1.

Also check out the Least Common Multiple of 43452 and 43471