What is the Greatest Common Factor of 43641 and 43656?

Greatest common factor (GCF) of 43641 and 43656 is 3.

GCF(43641,43656) = 3

We will now calculate the prime factors of 43641 and 43656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43641 and 43656.

How to find the GCF of 43641 and 43656?

We will first find the prime factorization of 43641 and 43656. After we will calculate the factors of 43641 and 43656 and find the biggest common factor number .

Step-1: Prime Factorization of 43641

Prime factors of 43641 are 3, 13, 373. Prime factorization of 43641 in exponential form is:

43641 = 3² × 13¹ × 373¹

Step-2: Prime Factorization of 43656

Prime factors of 43656 are 2, 3, 17, 107. Prime factorization of 43656 in exponential form is:

43656 = 2³ × 3¹ × 17¹ × 107¹

Step-3: Factors of 43641

List of positive integer factors of 43641 that divides 43641 without a remainder.

1, 3, 9, 13, 39, 117, 373, 1119, 3357, 4849, 14547

Step-4: Factors of 43656

List of positive integer factors of 43656 that divides 43641 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 107, 136, 204, 214, 321, 408, 428, 642, 856, 1284, 1819, 2568, 3638, 5457, 7276, 10914, 14552, 21828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43641 and 43656. The biggest common factor number is the GCF number.
So the greatest common factor 43641 and 43656 is 3.

Also check out the Least Common Multiple of 43641 and 43656