What is the Greatest Common Factor of 43440 and 43452?

Greatest common factor (GCF) of 43440 and 43452 is 12.

GCF(43440,43452) = 12

We will now calculate the prime factors of 43440 and 43452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43440 and 43452.

How to find the GCF of 43440 and 43452?

We will first find the prime factorization of 43440 and 43452. After we will calculate the factors of 43440 and 43452 and find the biggest common factor number .

Step-1: Prime Factorization of 43440

Prime factors of 43440 are 2, 3, 5, 181. Prime factorization of 43440 in exponential form is:

43440 = 2⁴ × 3¹ × 5¹ × 181¹

Step-2: 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-3: Factors of 43440

List of positive integer factors of 43440 that divides 43440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 181, 240, 362, 543, 724, 905, 1086, 1448, 1810, 2172, 2715, 2896, 3620, 4344, 5430, 7240, 8688, 10860, 14480, 21720

Step-4: Factors of 43452

List of positive integer factors of 43452 that divides 43440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43440 and 43452. The biggest common factor number is the GCF number.
So the greatest common factor 43440 and 43452 is 12.

Also check out the Least Common Multiple of 43440 and 43452