What is the Greatest Common Factor of 43641 and 43657?

Greatest common factor (GCF) of 43641 and 43657 is 1.

GCF(43641,43657) = 1

We will now calculate the prime factors of 43641 and 43657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43641 and 43657.

How to find the GCF of 43641 and 43657?

We will first find the prime factorization of 43641 and 43657. After we will calculate the factors of 43641 and 43657 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 43657

Prime factors of 43657 are 149, 293. Prime factorization of 43657 in exponential form is:

43657 = 149¹ × 293¹

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 43657

List of positive integer factors of 43657 that divides 43641 without a remainder.

1, 149, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43641 and 43657. The biggest common factor number is the GCF number.
So the greatest common factor 43641 and 43657 is 1.

Also check out the Least Common Multiple of 43641 and 43657