What is the Greatest Common Factor of 43424 and 43440?

Greatest common factor (GCF) of 43424 and 43440 is 16.

GCF(43424,43440) = 16

We will now calculate the prime factors of 43424 and 43440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43424 and 43440.

How to find the GCF of 43424 and 43440?

We will first find the prime factorization of 43424 and 43440. After we will calculate the factors of 43424 and 43440 and find the biggest common factor number .

Step-1: Prime Factorization of 43424

Prime factors of 43424 are 2, 23, 59. Prime factorization of 43424 in exponential form is:

43424 = 2⁵ × 23¹ × 59¹

Step-2: 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-3: Factors of 43424

List of positive integer factors of 43424 that divides 43424 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 59, 92, 118, 184, 236, 368, 472, 736, 944, 1357, 1888, 2714, 5428, 10856, 21712

Step-4: Factors of 43440

List of positive integer factors of 43440 that divides 43424 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43424 and 43440. The biggest common factor number is the GCF number.
So the greatest common factor 43424 and 43440 is 16.

Also check out the Least Common Multiple of 43424 and 43440