What is the Greatest Common Factor of 43452 and 43470?

Greatest common factor (GCF) of 43452 and 43470 is 18.

GCF(43452,43470) = 18

We will now calculate the prime factors of 43452 and 43470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43452 and 43470.

How to find the GCF of 43452 and 43470?

We will first find the prime factorization of 43452 and 43470. After we will calculate the factors of 43452 and 43470 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 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-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 43470

List of positive integer factors of 43470 that divides 43452 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43452 and 43470. The biggest common factor number is the GCF number.
So the greatest common factor 43452 and 43470 is 18.

Also check out the Least Common Multiple of 43452 and 43470