What is the Greatest Common Factor of 29643 and 29661?

Greatest common factor (GCF) of 29643 and 29661 is 3.

GCF(29643,29661) = 3

We will now calculate the prime factors of 29643 and 29661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29643 and 29661.

How to find the GCF of 29643 and 29661?

We will first find the prime factorization of 29643 and 29661. After we will calculate the factors of 29643 and 29661 and find the biggest common factor number .

Step-1: Prime Factorization of 29643

Prime factors of 29643 are 3, 41, 241. Prime factorization of 29643 in exponential form is:

29643 = 3¹ × 41¹ × 241¹

Step-2: Prime Factorization of 29661

Prime factors of 29661 are 3, 9887. Prime factorization of 29661 in exponential form is:

29661 = 3¹ × 9887¹

Step-3: Factors of 29643

List of positive integer factors of 29643 that divides 29643 without a remainder.

1, 3, 41, 123, 241, 723, 9881

Step-4: Factors of 29661

List of positive integer factors of 29661 that divides 29643 without a remainder.

1, 3, 9887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29643 and 29661. The biggest common factor number is the GCF number.
So the greatest common factor 29643 and 29661 is 3.

Also check out the Least Common Multiple of 29643 and 29661