What is the Greatest Common Factor of 43470 and 43487?

Greatest common factor (GCF) of 43470 and 43487 is 1.

GCF(43470,43487) = 1

We will now calculate the prime factors of 43470 and 43487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43470 and 43487.

How to find the GCF of 43470 and 43487?

We will first find the prime factorization of 43470 and 43487. After we will calculate the factors of 43470 and 43487 and find the biggest common factor number .

Step-1: Prime Factorization of 43470

Prime factors of 43470 are 2, 3, 5, 7, 23. Prime factorization of 43470 in exponential form is:

43470 = 2¹ × 3³ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 43487

Prime factors of 43487 are 43487. Prime factorization of 43487 in exponential form is:

43487 = 43487¹

Step-3: Factors of 43470

List of positive integer factors of 43470 that divides 43470 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 23, 27, 30, 35, 42, 45, 46, 54, 63, 69, 70, 90, 105, 115, 126, 135, 138, 161, 189, 207, 210, 230, 270, 315, 322, 345, 378, 414, 483, 621, 630, 690, 805, 945, 966, 1035, 1242, 1449, 1610, 1890, 2070, 2415, 2898, 3105, 4347, 4830, 6210, 7245, 8694, 14490, 21735

Step-4: Factors of 43487

List of positive integer factors of 43487 that divides 43470 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43470 and 43487. The biggest common factor number is the GCF number.
So the greatest common factor 43470 and 43487 is 1.

Also check out the Least Common Multiple of 43470 and 43487