What is the Greatest Common Factor of 43401 and 43416?

Greatest common factor (GCF) of 43401 and 43416 is 3.

GCF(43401,43416) = 3

We will now calculate the prime factors of 43401 and 43416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43401 and 43416.

How to find the GCF of 43401 and 43416?

We will first find the prime factorization of 43401 and 43416. After we will calculate the factors of 43401 and 43416 and find the biggest common factor number .

Step-1: Prime Factorization of 43401

Prime factors of 43401 are 3, 17, 23, 37. Prime factorization of 43401 in exponential form is:

43401 = 3¹ × 17¹ × 23¹ × 37¹

Step-2: Prime Factorization of 43416

Prime factors of 43416 are 2, 3, 67. Prime factorization of 43416 in exponential form is:

43416 = 2³ × 3⁴ × 67¹

Step-3: Factors of 43401

List of positive integer factors of 43401 that divides 43401 without a remainder.

1, 3, 17, 23, 37, 51, 69, 111, 391, 629, 851, 1173, 1887, 2553, 14467

Step-4: Factors of 43416

List of positive integer factors of 43416 that divides 43401 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 67, 72, 81, 108, 134, 162, 201, 216, 268, 324, 402, 536, 603, 648, 804, 1206, 1608, 1809, 2412, 3618, 4824, 5427, 7236, 10854, 14472, 21708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43401 and 43416. The biggest common factor number is the GCF number.
So the greatest common factor 43401 and 43416 is 3.

Also check out the Least Common Multiple of 43401 and 43416