What is the Greatest Common Factor of 43470 and 43475?

Greatest common factor (GCF) of 43470 and 43475 is 5.

GCF(43470,43475) = 5

We will now calculate the prime factors of 43470 and 43475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43470 and 43475.

How to find the GCF of 43470 and 43475?

We will first find the prime factorization of 43470 and 43475. After we will calculate the factors of 43470 and 43475 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 43475

Prime factors of 43475 are 5, 37, 47. Prime factorization of 43475 in exponential form is:

43475 = 5² × 37¹ × 47¹

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 43475

List of positive integer factors of 43475 that divides 43470 without a remainder.

1, 5, 25, 37, 47, 185, 235, 925, 1175, 1739, 8695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43470 and 43475. The biggest common factor number is the GCF number.
So the greatest common factor 43470 and 43475 is 5.

Also check out the Least Common Multiple of 43470 and 43475