What is the Greatest Common Factor of 43628 and 43641?

Greatest common factor (GCF) of 43628 and 43641 is 13.

GCF(43628,43641) = 13

We will now calculate the prime factors of 43628 and 43641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43628 and 43641.

How to find the GCF of 43628 and 43641?

We will first find the prime factorization of 43628 and 43641. After we will calculate the factors of 43628 and 43641 and find the biggest common factor number .

Step-1: Prime Factorization of 43628

Prime factors of 43628 are 2, 13, 839. Prime factorization of 43628 in exponential form is:

43628 = 2² × 13¹ × 839¹

Step-2: 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-3: Factors of 43628

List of positive integer factors of 43628 that divides 43628 without a remainder.

1, 2, 4, 13, 26, 52, 839, 1678, 3356, 10907, 21814

Step-4: Factors of 43641

List of positive integer factors of 43641 that divides 43628 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43628 and 43641. The biggest common factor number is the GCF number.
So the greatest common factor 43628 and 43641 is 13.

Also check out the Least Common Multiple of 43628 and 43641