What is the Greatest Common Factor of 29727 and 29739?

Greatest common factor (GCF) of 29727 and 29739 is 3.

GCF(29727,29739) = 3

We will now calculate the prime factors of 29727 and 29739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29727 and 29739.

How to find the GCF of 29727 and 29739?

We will first find the prime factorization of 29727 and 29739. After we will calculate the factors of 29727 and 29739 and find the biggest common factor number .

Step-1: Prime Factorization of 29727

Prime factors of 29727 are 3, 367. Prime factorization of 29727 in exponential form is:

29727 = 3⁴ × 367¹

Step-2: Prime Factorization of 29739

Prime factors of 29739 are 3, 23, 431. Prime factorization of 29739 in exponential form is:

29739 = 3¹ × 23¹ × 431¹

Step-3: Factors of 29727

List of positive integer factors of 29727 that divides 29727 without a remainder.

1, 3, 9, 27, 81, 367, 1101, 3303, 9909

Step-4: Factors of 29739

List of positive integer factors of 29739 that divides 29727 without a remainder.

1, 3, 23, 69, 431, 1293, 9913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29727 and 29739. The biggest common factor number is the GCF number.
So the greatest common factor 29727 and 29739 is 3.

Also check out the Least Common Multiple of 29727 and 29739