What is the Greatest Common Factor of 43653 and 43665?

Greatest common factor (GCF) of 43653 and 43665 is 3.

GCF(43653,43665) = 3

We will now calculate the prime factors of 43653 and 43665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43653 and 43665.

How to find the GCF of 43653 and 43665?

We will first find the prime factorization of 43653 and 43665. After we will calculate the factors of 43653 and 43665 and find the biggest common factor number .

Step-1: Prime Factorization of 43653

Prime factors of 43653 are 3, 14551. Prime factorization of 43653 in exponential form is:

43653 = 3¹ × 14551¹

Step-2: Prime Factorization of 43665

Prime factors of 43665 are 3, 5, 41, 71. Prime factorization of 43665 in exponential form is:

43665 = 3¹ × 5¹ × 41¹ × 71¹

Step-3: Factors of 43653

List of positive integer factors of 43653 that divides 43653 without a remainder.

1, 3, 14551

Step-4: Factors of 43665

List of positive integer factors of 43665 that divides 43653 without a remainder.

1, 3, 5, 15, 41, 71, 123, 205, 213, 355, 615, 1065, 2911, 8733, 14555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43653 and 43665. The biggest common factor number is the GCF number.
So the greatest common factor 43653 and 43665 is 3.

Also check out the Least Common Multiple of 43653 and 43665