What is the Greatest Common Factor of 43621 and 43634?

Greatest common factor (GCF) of 43621 and 43634 is 1.

GCF(43621,43634) = 1

We will now calculate the prime factors of 43621 and 43634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43621 and 43634.

How to find the GCF of 43621 and 43634?

We will first find the prime factorization of 43621 and 43634. After we will calculate the factors of 43621 and 43634 and find the biggest common factor number .

Step-1: Prime Factorization of 43621

Prime factors of 43621 are 181, 241. Prime factorization of 43621 in exponential form is:

43621 = 181¹ × 241¹

Step-2: Prime Factorization of 43634

Prime factors of 43634 are 2, 21817. Prime factorization of 43634 in exponential form is:

43634 = 2¹ × 21817¹

Step-3: Factors of 43621

List of positive integer factors of 43621 that divides 43621 without a remainder.

1, 181, 241

Step-4: Factors of 43634

List of positive integer factors of 43634 that divides 43621 without a remainder.

1, 2, 21817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43621 and 43634. The biggest common factor number is the GCF number.
So the greatest common factor 43621 and 43634 is 1.

Also check out the Least Common Multiple of 43621 and 43634