What is the Greatest Common Factor of 43470 and 43484?

Greatest common factor (GCF) of 43470 and 43484 is 14.

GCF(43470,43484) = 14

We will now calculate the prime factors of 43470 and 43484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43470 and 43484.

How to find the GCF of 43470 and 43484?

We will first find the prime factorization of 43470 and 43484. After we will calculate the factors of 43470 and 43484 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 43484

Prime factors of 43484 are 2, 7, 1553. Prime factorization of 43484 in exponential form is:

43484 = 2² × 7¹ × 1553¹

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 43484

List of positive integer factors of 43484 that divides 43470 without a remainder.

1, 2, 4, 7, 14, 28, 1553, 3106, 6212, 10871, 21742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43470 and 43484. The biggest common factor number is the GCF number.
So the greatest common factor 43470 and 43484 is 14.

Also check out the Least Common Multiple of 43470 and 43484